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Finding the Fourth Proportional to 31,627.56, 47,441.28 and 9,456.48

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Solution

The fourth proportional to 31,627.56, 47,441.28 and 9,456.48 is: 14,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,627.56 : 47,441.28 = 9,456.48 : x
  2. Step 2: Convert to fraction form
    31,627.56/47,441.28 = 9,456.48/x
  3. Step 3: Cross multiply
    31,627.56x = 47,441.28 × 9,456.48
  4. Step 4: Simplify right side
    31,627.56x = 448,627,515.49
  5. Step 5: Solve for x
    x = 448,627,515.49/31,627.56
  6. Step 6: Final answer
    x = 14,184.70

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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.