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Finding the Fourth Proportional to 82,454.96, 123,613.18 and 57,421.10

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Solution

The fourth proportional to 82,454.96, 123,613.18 and 57,421.10 is: 86,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,454.96 : 123,613.18 = 57,421.10 : x
  2. Step 2: Convert to fraction form
    82,454.96/123,613.18 = 57,421.10/x
  3. Step 3: Cross multiply
    82,454.96x = 123,613.18 × 57,421.10
  4. Step 4: Simplify right side
    82,454.96x = 7,098,004,770.10
  5. Step 5: Solve for x
    x = 7,098,004,770.10/82,454.96
  6. Step 6: Final answer
    x = 86,083.42

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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.