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Finding the Fourth Proportional to 69,406.57, 95,781.10 and 37,575.47

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Solution

The fourth proportional to 69,406.57, 95,781.10 and 37,575.47 is: 51,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,406.57 : 95,781.10 = 37,575.47 : x
  2. Step 2: Convert to fraction form
    69,406.57/95,781.10 = 37,575.47/x
  3. Step 3: Cross multiply
    69,406.57x = 95,781.10 × 37,575.47
  4. Step 4: Simplify right side
    69,406.57x = 3,599,019,849.62
  5. Step 5: Solve for x
    x = 3,599,019,849.62/69,406.57
  6. Step 6: Final answer
    x = 51,854.17

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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.