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Finding the Fourth Proportional to 83,609.40, 125,414.10 and 50,431.80

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Solution

The fourth proportional to 83,609.40, 125,414.10 and 50,431.80 is: 75,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,609.40 : 125,414.10 = 50,431.80 : x
  2. Step 2: Convert to fraction form
    83,609.40/125,414.10 = 50,431.80/x
  3. Step 3: Cross multiply
    83,609.40x = 125,414.10 × 50,431.80
  4. Step 4: Simplify right side
    83,609.40x = 6,324,858,808.38
  5. Step 5: Solve for x
    x = 6,324,858,808.38/83,609.40
  6. Step 6: Final answer
    x = 75,647.70

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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.