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Finding the Fourth Proportional to 47,737.38, 71,626.32 and 25,545

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Solution

The fourth proportional to 47,737.38, 71,626.32 and 25,545 is: 38,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,737.38 : 71,626.32 = 25,545 : x
  2. Step 2: Convert to fraction form
    47,737.38/71,626.32 = 25,545/x
  3. Step 3: Cross multiply
    47,737.38x = 71,626.32 × 25,545
  4. Step 4: Simplify right side
    47,737.38x = 1,829,694,344.40
  5. Step 5: Solve for x
    x = 1,829,694,344.40/47,737.38
  6. Step 6: Final answer
    x = 38,328.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.