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Finding the Fourth Proportional to 31,531.92, 47,296.50 and 7,838.96

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Solution

The fourth proportional to 31,531.92, 47,296.50 and 7,838.96 is: 11,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.92 : 47,296.50 = 7,838.96 : x
  2. Step 2: Convert to fraction form
    31,531.92/47,296.50 = 7,838.96/x
  3. Step 3: Cross multiply
    31,531.92x = 47,296.50 × 7,838.96
  4. Step 4: Simplify right side
    31,531.92x = 370,755,371.64
  5. Step 5: Solve for x
    x = 370,755,371.64/31,531.92
  6. Step 6: Final answer
    x = 11,758.10

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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.