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Finding the Fourth Proportional to 51,655.26, 77,479.05 and 29,398.78

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Solution

The fourth proportional to 51,655.26, 77,479.05 and 29,398.78 is: 44,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,655.26 : 77,479.05 = 29,398.78 : x
  2. Step 2: Convert to fraction form
    51,655.26/77,479.05 = 29,398.78/x
  3. Step 3: Cross multiply
    51,655.26x = 77,479.05 × 29,398.78
  4. Step 4: Simplify right side
    51,655.26x = 2,277,789,545.56
  5. Step 5: Solve for x
    x = 2,277,789,545.56/51,655.26
  6. Step 6: Final answer
    x = 44,095.98

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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.