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Finding the Fourth Proportional to 31,677.60, 47,516.40 and 8,306.40

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Solution

The fourth proportional to 31,677.60, 47,516.40 and 8,306.40 is: 12,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.60 : 47,516.40 = 8,306.40 : x
  2. Step 2: Convert to fraction form
    31,677.60/47,516.40 = 8,306.40/x
  3. Step 3: Cross multiply
    31,677.60x = 47,516.40 × 8,306.40
  4. Step 4: Simplify right side
    31,677.60x = 394,690,224.96
  5. Step 5: Solve for x
    x = 394,690,224.96/31,677.60
  6. Step 6: Final answer
    x = 12,459.60

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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.