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Finding the Fourth Proportional to 71,193.62, 106,956.53 and 41,632.27

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Solution

The fourth proportional to 71,193.62, 106,956.53 and 41,632.27 is: 62,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,193.62 : 106,956.53 = 41,632.27 : x
  2. Step 2: Convert to fraction form
    71,193.62/106,956.53 = 41,632.27/x
  3. Step 3: Cross multiply
    71,193.62x = 106,956.53 × 41,632.27
  4. Step 4: Simplify right side
    71,193.62x = 4,452,843,135.22
  5. Step 5: Solve for x
    x = 4,452,843,135.22/71,193.62
  6. Step 6: Final answer
    x = 62,545.54

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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.