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Finding the Fourth Proportional to 71,757.24, 107,635 and 25,009.96

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Solution

The fourth proportional to 71,757.24, 107,635 and 25,009.96 is: 37,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757.24 : 107,635 = 25,009.96 : x
  2. Step 2: Convert to fraction form
    71,757.24/107,635 = 25,009.96/x
  3. Step 3: Cross multiply
    71,757.24x = 107,635 × 25,009.96
  4. Step 4: Simplify right side
    71,757.24x = 2,691,947,044.60
  5. Step 5: Solve for x
    x = 2,691,947,044.60/71,757.24
  6. Step 6: Final answer
    x = 37,514.64

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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.