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Finding the Fourth Proportional to 54,022.60, 80,861.10 and 38,470.60

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Solution

The fourth proportional to 54,022.60, 80,861.10 and 38,470.60 is: 57,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,022.60 : 80,861.10 = 38,470.60 : x
  2. Step 2: Convert to fraction form
    54,022.60/80,861.10 = 38,470.60/x
  3. Step 3: Cross multiply
    54,022.60x = 80,861.10 × 38,470.60
  4. Step 4: Simplify right side
    54,022.60x = 3,110,775,033.66
  5. Step 5: Solve for x
    x = 3,110,775,033.66/54,022.60
  6. Step 6: Final answer
    x = 57,582.85

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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.