This seems to be sensationalizing. First, how do they calculate "median price?" Is it a case of counting every car model on sale and taking the median value, or is the "true" median somehow sales-weighted? It's possible that the auto manufacturers are marketing a disproportionate amount of high-end and "loaded" cars, but if one, looks, there are still a lot of new cars around for considerably less than $48,000. Also, monthly payments depend on mode than the interest rate, as the length of the load term has a very strong effect.
I myself just gulped and subjected myself to purchasing a new car. The car was a small SUV (Toyota Corolla Cross), mid trim, for $33K. This price included the evil dealer "market adjustment." I'm not happy, but our 21 year old Honda has a lot of rust on the undercarriage and the A/C is definitely flaky, so I'd rather replace the car now while I can still at least drive the old car to the junkyard. I was able to borrow $20K for 60 months (5 years) at a monthly payment of $360. Maybe people with really bad credit who are stuck with 25% APRs deal with monthly payments approaching $1,000.
This <$48,000 car is not some bare-bones base model, either. In my research, I saw compact cars with MRSPs of less than $20,000, some even less than $15,000. There are plenty of cars and SUVs being offered that are way less than $48,000. Of course, in today's market, they're not on the lot, and you're going to have to order them, pay a couple of thousand over the MRSP, and wait a while before they're delivered. We had to wait about almost 2 weeks for ours, and the salesman said it "was on the train." It arrived about a week later than his estimate. Maybe it was riding Amtrak or Amtrak is consulting with the class I freight railroads on the subject of on-time arrivals.