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Finding the Fourth Proportional to 31,639.69, 47,472.63 and 13,861.16

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Solution

The fourth proportional to 31,639.69, 47,472.63 and 13,861.16 is: 20,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,639.69 : 47,472.63 = 13,861.16 : x
  2. Step 2: Convert to fraction form
    31,639.69/47,472.63 = 13,861.16/x
  3. Step 3: Cross multiply
    31,639.69x = 47,472.63 × 13,861.16
  4. Step 4: Simplify right side
    31,639.69x = 658,025,720.05
  5. Step 5: Solve for x
    x = 658,025,720.05/31,639.69
  6. Step 6: Final answer
    x = 20,797.48

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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.