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Finding the Fourth Proportional to 31,916.30, 47,874.44 and 8,542.13

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Solution

The fourth proportional to 31,916.30, 47,874.44 and 8,542.13 is: 12,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916.30 : 47,874.44 = 8,542.13 : x
  2. Step 2: Convert to fraction form
    31,916.30/47,874.44 = 8,542.13/x
  3. Step 3: Cross multiply
    31,916.30x = 47,874.44 × 8,542.13
  4. Step 4: Simplify right side
    31,916.30x = 408,949,472.14
  5. Step 5: Solve for x
    x = 408,949,472.14/31,916.30
  6. Step 6: Final answer
    x = 12,813.19

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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.