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Finding the Fourth Proportional to 54,348.60, 81,458.10 and 22,758.60

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Solution

The fourth proportional to 54,348.60, 81,458.10 and 22,758.60 is: 34,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,348.60 : 81,458.10 = 22,758.60 : x
  2. Step 2: Convert to fraction form
    54,348.60/81,458.10 = 22,758.60/x
  3. Step 3: Cross multiply
    54,348.60x = 81,458.10 × 22,758.60
  4. Step 4: Simplify right side
    54,348.60x = 1,853,872,314.66
  5. Step 5: Solve for x
    x = 1,853,872,314.66/54,348.60
  6. Step 6: Final answer
    x = 34,110.76

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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.