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Finding the Fourth Proportional to 31,403.68, 47,105.79 and 9,217.42

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Solution

The fourth proportional to 31,403.68, 47,105.79 and 9,217.42 is: 13,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403.68 : 47,105.79 = 9,217.42 : x
  2. Step 2: Convert to fraction form
    31,403.68/47,105.79 = 9,217.42/x
  3. Step 3: Cross multiply
    31,403.68x = 47,105.79 × 9,217.42
  4. Step 4: Simplify right side
    31,403.68x = 434,193,850.86
  5. Step 5: Solve for x
    x = 434,193,850.86/31,403.68
  6. Step 6: Final answer
    x = 13,826.21

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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.