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Finding the Fourth Proportional to 100,616.92, 150,925.30 and 25,737.20

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Solution

The fourth proportional to 100,616.92, 150,925.30 and 25,737.20 is: 38,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,616.92 : 150,925.30 = 25,737.20 : x
  2. Step 2: Convert to fraction form
    100,616.92/150,925.30 = 25,737.20/x
  3. Step 3: Cross multiply
    100,616.92x = 150,925.30 × 25,737.20
  4. Step 4: Simplify right side
    100,616.92x = 3,884,394,631.16
  5. Step 5: Solve for x
    x = 3,884,394,631.16/100,616.92
  6. Step 6: Final answer
    x = 38,605.78

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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.