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Finding the Fourth Proportional to 71,565.42, 107,377.85 and 36,007.76

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Solution

The fourth proportional to 71,565.42, 107,377.85 and 36,007.76 is: 54,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,565.42 : 107,377.85 = 36,007.76 : x
  2. Step 2: Convert to fraction form
    71,565.42/107,377.85 = 36,007.76/x
  3. Step 3: Cross multiply
    71,565.42x = 107,377.85 × 36,007.76
  4. Step 4: Simplify right side
    71,565.42x = 3,866,435,606.58
  5. Step 5: Solve for x
    x = 3,866,435,606.58/71,565.42
  6. Step 6: Final answer
    x = 54,026.59

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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.