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Finding the Fourth Proportional to 71,502.75, 107,249.40 and 29,371.82

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Solution

The fourth proportional to 71,502.75, 107,249.40 and 29,371.82 is: 44,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502.75 : 107,249.40 = 29,371.82 : x
  2. Step 2: Convert to fraction form
    71,502.75/107,249.40 = 29,371.82/x
  3. Step 3: Cross multiply
    71,502.75x = 107,249.40 × 29,371.82
  4. Step 4: Simplify right side
    71,502.75x = 3,150,109,535.66
  5. Step 5: Solve for x
    x = 3,150,109,535.66/71,502.75
  6. Step 6: Final answer
    x = 44,055.78

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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.