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Finding the Fourth Proportional to 71,641.26, 107,456.22 and 29,509.92

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Solution

The fourth proportional to 71,641.26, 107,456.22 and 29,509.92 is: 44,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,641.26 : 107,456.22 = 29,509.92 : x
  2. Step 2: Convert to fraction form
    71,641.26/107,456.22 = 29,509.92/x
  3. Step 3: Cross multiply
    71,641.26x = 107,456.22 × 29,509.92
  4. Step 4: Simplify right side
    71,641.26x = 3,171,024,455.70
  5. Step 5: Solve for x
    x = 3,171,024,455.70/71,641.26
  6. Step 6: Final answer
    x = 44,262.54

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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.