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Finding the Fourth Proportional to 87,467.66, 120,705.87 and 49,227.96

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Solution

The fourth proportional to 87,467.66, 120,705.87 and 49,227.96 is: 67,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,467.66 : 120,705.87 = 49,227.96 : x
  2. Step 2: Convert to fraction form
    87,467.66/120,705.87 = 49,227.96/x
  3. Step 3: Cross multiply
    87,467.66x = 120,705.87 × 49,227.96
  4. Step 4: Simplify right side
    87,467.66x = 5,942,104,377.38
  5. Step 5: Solve for x
    x = 5,942,104,377.38/87,467.66
  6. Step 6: Final answer
    x = 67,934.87

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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.