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Finding the Fourth Proportional to 31,627.75, 47,449.85 and 9,441.13

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Solution

The fourth proportional to 31,627.75, 47,449.85 and 9,441.13 is: 14,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,627.75 : 47,449.85 = 9,441.13 : x
  2. Step 2: Convert to fraction form
    31,627.75/47,449.85 = 9,441.13/x
  3. Step 3: Cross multiply
    31,627.75x = 47,449.85 × 9,441.13
  4. Step 4: Simplify right side
    31,627.75x = 447,980,202.33
  5. Step 5: Solve for x
    x = 447,980,202.33/31,627.75
  6. Step 6: Final answer
    x = 14,164.15

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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.