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Finding the Fourth Proportional to 31,745.28, 47,613.76 and 8,373.56

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Solution

The fourth proportional to 31,745.28, 47,613.76 and 8,373.56 is: 12,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.28 : 47,613.76 = 8,373.56 : x
  2. Step 2: Convert to fraction form
    31,745.28/47,613.76 = 8,373.56/x
  3. Step 3: Cross multiply
    31,745.28x = 47,613.76 × 8,373.56
  4. Step 4: Simplify right side
    31,745.28x = 398,696,676.19
  5. Step 5: Solve for x
    x = 398,696,676.19/31,745.28
  6. Step 6: Final answer
    x = 12,559.24

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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.