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Finding the Fourth Proportional to 54,512.60, 81,704.10 and 22,922.60

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Solution

The fourth proportional to 54,512.60, 81,704.10 and 22,922.60 is: 34,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,512.60 : 81,704.10 = 22,922.60 : x
  2. Step 2: Convert to fraction form
    54,512.60/81,704.10 = 22,922.60/x
  3. Step 3: Cross multiply
    54,512.60x = 81,704.10 × 22,922.60
  4. Step 4: Simplify right side
    54,512.60x = 1,872,870,402.66
  5. Step 5: Solve for x
    x = 1,872,870,402.66/54,512.60
  6. Step 6: Final answer
    x = 34,356.65

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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.