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Finding the Fourth Proportional to 51,523.31, 71,102.17 and 29,167.31

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Solution

The fourth proportional to 51,523.31, 71,102.17 and 29,167.31 is: 40,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,523.31 : 71,102.17 = 29,167.31 : x
  2. Step 2: Convert to fraction form
    51,523.31/71,102.17 = 29,167.31/x
  3. Step 3: Cross multiply
    51,523.31x = 71,102.17 × 29,167.31
  4. Step 4: Simplify right side
    51,523.31x = 2,073,859,248.28
  5. Step 5: Solve for x
    x = 2,073,859,248.28/51,523.31
  6. Step 6: Final answer
    x = 40,250.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.