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Finding the Fourth Proportional to 57,511.89, 86,268.24 and 20,071.80

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Solution

The fourth proportional to 57,511.89, 86,268.24 and 20,071.80 is: 30,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,511.89 : 86,268.24 = 20,071.80 : x
  2. Step 2: Convert to fraction form
    57,511.89/86,268.24 = 20,071.80/x
  3. Step 3: Cross multiply
    57,511.89x = 86,268.24 × 20,071.80
  4. Step 4: Simplify right side
    57,511.89x = 1,731,558,859.63
  5. Step 5: Solve for x
    x = 1,731,558,859.63/57,511.89
  6. Step 6: Final answer
    x = 30,107.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.