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Finding the Fourth Proportional to 47,591.85, 71,391.42 and 12,531

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Solution

The fourth proportional to 47,591.85, 71,391.42 and 12,531 is: 18,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,591.85 : 71,391.42 = 12,531 : x
  2. Step 2: Convert to fraction form
    47,591.85/71,391.42 = 12,531/x
  3. Step 3: Cross multiply
    47,591.85x = 71,391.42 × 12,531
  4. Step 4: Simplify right side
    47,591.85x = 894,605,884.02
  5. Step 5: Solve for x
    x = 894,605,884.02/47,591.85
  6. Step 6: Final answer
    x = 18,797.46

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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.