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Finding the Fourth Proportional to 82,396, 123,520.69 and 29,793.79

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Solution

The fourth proportional to 82,396, 123,520.69 and 29,793.79 is: 44,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,396 : 123,520.69 = 29,793.79 : x
  2. Step 2: Convert to fraction form
    82,396/123,520.69 = 29,793.79/x
  3. Step 3: Cross multiply
    82,396x = 123,520.69 × 29,793.79
  4. Step 4: Simplify right side
    82,396x = 3,680,149,498.52
  5. Step 5: Solve for x
    x = 3,680,149,498.52/82,396
  6. Step 6: Final answer
    x = 44,664.18

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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.