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Finding the Fourth Proportional to 57,614.12, 86,413.89 and 22,578.38

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Solution

The fourth proportional to 57,614.12, 86,413.89 and 22,578.38 is: 33,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,614.12 : 86,413.89 = 22,578.38 : x
  2. Step 2: Convert to fraction form
    57,614.12/86,413.89 = 22,578.38/x
  3. Step 3: Cross multiply
    57,614.12x = 86,413.89 × 22,578.38
  4. Step 4: Simplify right side
    57,614.12x = 1,951,085,645.70
  5. Step 5: Solve for x
    x = 1,951,085,645.70/57,614.12
  6. Step 6: Final answer
    x = 33,864.71

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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.