Most private schools are heavily discounted from their advertised price--currently well beyond 50% discount on average (see below)--so don't focus too much on sticker price. The old wisdom among the college marketers was 'high prices [i.e., tuition sticker prices] send a signal of quality in the market' and that worked for quite a while. ('Ha! I got a great education and a great discount!') The Forbes article might suggest that's not the case any more.
https://fred.stlouisfed.org/series/WSHOMCB