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Finding the Fourth Proportional to 31,691.70, 47,537.82 and 9,505.26

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Solution

The fourth proportional to 31,691.70, 47,537.82 and 9,505.26 is: 14,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.70 : 47,537.82 = 9,505.26 : x
  2. Step 2: Convert to fraction form
    31,691.70/47,537.82 = 9,505.26/x
  3. Step 3: Cross multiply
    31,691.70x = 47,537.82 × 9,505.26
  4. Step 4: Simplify right side
    31,691.70x = 451,859,338.93
  5. Step 5: Solve for x
    x = 451,859,338.93/31,691.70
  6. Step 6: Final answer
    x = 14,257.97

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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.