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Finding the Fourth Proportional to 71,760.96, 107,542.80 and 36,626.76

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Solution

The fourth proportional to 71,760.96, 107,542.80 and 36,626.76 is: 54,889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,760.96 : 107,542.80 = 36,626.76 : x
  2. Step 2: Convert to fraction form
    71,760.96/107,542.80 = 36,626.76/x
  3. Step 3: Cross multiply
    71,760.96x = 107,542.80 × 36,626.76
  4. Step 4: Simplify right side
    71,760.96x = 3,938,944,325.33
  5. Step 5: Solve for x
    x = 3,938,944,325.33/71,760.96
  6. Step 6: Final answer
    x = 54,889.79

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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.