Welcome to the forums!
It is possible to operate a 50 amp on a 15 amp shore power supply--but you can't run much at all.
Better is a 50 on a 30 amp shore power. About twice as much "stuff" can be run.
Of course ideal is 50 on 50.
At the same time--it is quite possible to have an RV that only has a 30 amp service. A 30 on 50 shore power operates extremely well. You just need an adapter.
Regards, Don
My ride is a 28 foot Class C, 256 watts solar, 556 amp-hours of Telcom jars, 3000 watt Magnum hybrid inverter, Sola Basic Autoformer, Microair Easy Start.