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Finding the Fourth Proportional to 31,572.90, 47,361.90 and 10,512.18

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Solution

The fourth proportional to 31,572.90, 47,361.90 and 10,512.18 is: 15,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572.90 : 47,361.90 = 10,512.18 : x
  2. Step 2: Convert to fraction form
    31,572.90/47,361.90 = 10,512.18/x
  3. Step 3: Cross multiply
    31,572.90x = 47,361.90 × 10,512.18
  4. Step 4: Simplify right side
    31,572.90x = 497,876,817.94
  5. Step 5: Solve for x
    x = 497,876,817.94/31,572.90
  6. Step 6: Final answer
    x = 15,769.12

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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.