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Finding the Fourth Proportional to 123,817.88, 185,767.32 and 39,591.92

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Solution

The fourth proportional to 123,817.88, 185,767.32 and 39,591.92 is: 59,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,817.88 : 185,767.32 = 39,591.92 : x
  2. Step 2: Convert to fraction form
    123,817.88/185,767.32 = 39,591.92/x
  3. Step 3: Cross multiply
    123,817.88x = 185,767.32 × 39,591.92
  4. Step 4: Simplify right side
    123,817.88x = 7,354,884,872.05
  5. Step 5: Solve for x
    x = 7,354,884,872.05/123,817.88
  6. Step 6: Final answer
    x = 59,400.83

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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.