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Finding the Fourth Proportional to 87,338.69, 120,520.75 and 49,092.16

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Solution

The fourth proportional to 87,338.69, 120,520.75 and 49,092.16 is: 67,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,338.69 : 120,520.75 = 49,092.16 : x
  2. Step 2: Convert to fraction form
    87,338.69/120,520.75 = 49,092.16/x
  3. Step 3: Cross multiply
    87,338.69x = 120,520.75 × 49,092.16
  4. Step 4: Simplify right side
    87,338.69x = 5,916,623,974.38
  5. Step 5: Solve for x
    x = 5,916,623,974.38/87,338.69
  6. Step 6: Final answer
    x = 67,743.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.