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Finding the Fourth Proportional to 31,758.86, 47,638.49 and 9,572.15

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Solution

The fourth proportional to 31,758.86, 47,638.49 and 9,572.15 is: 14,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.86 : 47,638.49 = 9,572.15 : x
  2. Step 2: Convert to fraction form
    31,758.86/47,638.49 = 9,572.15/x
  3. Step 3: Cross multiply
    31,758.86x = 47,638.49 × 9,572.15
  4. Step 4: Simplify right side
    31,758.86x = 456,002,772.05
  5. Step 5: Solve for x
    x = 456,002,772.05/31,758.86
  6. Step 6: Final answer
    x = 14,358.29

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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.