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Finding the Fourth Proportional to 31,777.54, 47,666.79 and 15,139.30

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Solution

The fourth proportional to 31,777.54, 47,666.79 and 15,139.30 is: 22,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.54 : 47,666.79 = 15,139.30 : x
  2. Step 2: Convert to fraction form
    31,777.54/47,666.79 = 15,139.30/x
  3. Step 3: Cross multiply
    31,777.54x = 47,666.79 × 15,139.30
  4. Step 4: Simplify right side
    31,777.54x = 721,641,833.85
  5. Step 5: Solve for x
    x = 721,641,833.85/31,777.54
  6. Step 6: Final answer
    x = 22,709.18

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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.