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Finding the Fourth Proportional to 67,129.60, 100,913.10 and 47,543.80

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Solution

The fourth proportional to 67,129.60, 100,913.10 and 47,543.80 is: 71,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,129.60 : 100,913.10 = 47,543.80 : x
  2. Step 2: Convert to fraction form
    67,129.60/100,913.10 = 47,543.80/x
  3. Step 3: Cross multiply
    67,129.60x = 100,913.10 × 47,543.80
  4. Step 4: Simplify right side
    67,129.60x = 4,797,792,243.78
  5. Step 5: Solve for x
    x = 4,797,792,243.78/67,129.60
  6. Step 6: Final answer
    x = 71,470.59

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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.