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Finding the Fourth Proportional to 31,660.75, 47,491.17 and 10,884.25

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Solution

The fourth proportional to 31,660.75, 47,491.17 and 10,884.25 is: 16,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.75 : 47,491.17 = 10,884.25 : x
  2. Step 2: Convert to fraction form
    31,660.75/47,491.17 = 10,884.25/x
  3. Step 3: Cross multiply
    31,660.75x = 47,491.17 × 10,884.25
  4. Step 4: Simplify right side
    31,660.75x = 516,905,767.07
  5. Step 5: Solve for x
    x = 516,905,767.07/31,660.75
  6. Step 6: Final answer
    x = 16,326.39

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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.