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Finding the Fourth Proportional to 82,042, 123,074.88 and 25,863.12

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Solution

The fourth proportional to 82,042, 123,074.88 and 25,863.12 is: 38,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,042 : 123,074.88 = 25,863.12 : x
  2. Step 2: Convert to fraction form
    82,042/123,074.88 = 25,863.12/x
  3. Step 3: Cross multiply
    82,042x = 123,074.88 × 25,863.12
  4. Step 4: Simplify right side
    82,042x = 3,183,100,390.43
  5. Step 5: Solve for x
    x = 3,183,100,390.43/82,042
  6. Step 6: Final answer
    x = 38,798.43

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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.