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Finding the Fourth Proportional to 82,029.60, 123,044.40 and 22,869.42

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Solution

The fourth proportional to 82,029.60, 123,044.40 and 22,869.42 is: 34,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,029.60 : 123,044.40 = 22,869.42 : x
  2. Step 2: Convert to fraction form
    82,029.60/123,044.40 = 22,869.42/x
  3. Step 3: Cross multiply
    82,029.60x = 123,044.40 × 22,869.42
  4. Step 4: Simplify right side
    82,029.60x = 2,813,954,062.25
  5. Step 5: Solve for x
    x = 2,813,954,062.25/82,029.60
  6. Step 6: Final answer
    x = 34,304.13

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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.