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Finding the Fourth Proportional to 71,152.90, 106,641.87 and 39,922.54

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Solution

The fourth proportional to 71,152.90, 106,641.87 and 39,922.54 is: 59,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.90 : 106,641.87 = 39,922.54 : x
  2. Step 2: Convert to fraction form
    71,152.90/106,641.87 = 39,922.54/x
  3. Step 3: Cross multiply
    71,152.90x = 106,641.87 × 39,922.54
  4. Step 4: Simplify right side
    71,152.90x = 4,257,414,320.75
  5. Step 5: Solve for x
    x = 4,257,414,320.75/71,152.90
  6. Step 6: Final answer
    x = 59,834.73

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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.