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Finding the Fourth Proportional to 68,827.20, 103,229.46 and 22,074

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Solution

The fourth proportional to 68,827.20, 103,229.46 and 22,074 is: 33,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,827.20 : 103,229.46 = 22,074 : x
  2. Step 2: Convert to fraction form
    68,827.20/103,229.46 = 22,074/x
  3. Step 3: Cross multiply
    68,827.20x = 103,229.46 × 22,074
  4. Step 4: Simplify right side
    68,827.20x = 2,278,687,100.04
  5. Step 5: Solve for x
    x = 2,278,687,100.04/68,827.20
  6. Step 6: Final answer
    x = 33,107.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.