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Finding the Fourth Proportional to 29,375.31, 44,053.62 and 9,649.29

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Solution

The fourth proportional to 29,375.31, 44,053.62 and 9,649.29 is: 14,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,375.31 : 44,053.62 = 9,649.29 : x
  2. Step 2: Convert to fraction form
    29,375.31/44,053.62 = 9,649.29/x
  3. Step 3: Cross multiply
    29,375.31x = 44,053.62 × 9,649.29
  4. Step 4: Simplify right side
    29,375.31x = 425,086,154.93
  5. Step 5: Solve for x
    x = 425,086,154.93/29,375.31
  6. Step 6: Final answer
    x = 14,470.87

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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.