Raleigh and Richmond are partners who share income equally. They have decided to let Pittsburgh join their partnership. Before admitting Pittsburgh, Raleigh had a capital balance of $$30,000$ and Richmond had a capital balance of $$50,000.$ Pittsburgh makes a $$20,000$ cash payment to the partnership and is given a $10\%$ interest. Immediately after admitting Pittsburgh to the partnership, the balance in Raleigh's capital account would be: