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Finding the Fourth Proportional to 82,043.38, 123,081.55 and 29,456.98

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Solution

The fourth proportional to 82,043.38, 123,081.55 and 29,456.98 is: 44,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,043.38 : 123,081.55 = 29,456.98 : x
  2. Step 2: Convert to fraction form
    82,043.38/123,081.55 = 29,456.98/x
  3. Step 3: Cross multiply
    82,043.38x = 123,081.55 × 29,456.98
  4. Step 4: Simplify right side
    82,043.38x = 3,625,610,756.72
  5. Step 5: Solve for x
    x = 3,625,610,756.72/82,043.38
  6. Step 6: Final answer
    x = 44,191.39

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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.