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Finding the Fourth Proportional to 32,843.88, 49,265.46 and 9,469.56

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Solution

The fourth proportional to 32,843.88, 49,265.46 and 9,469.56 is: 14,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.88 : 49,265.46 = 9,469.56 : x
  2. Step 2: Convert to fraction form
    32,843.88/49,265.46 = 9,469.56/x
  3. Step 3: Cross multiply
    32,843.88x = 49,265.46 × 9,469.56
  4. Step 4: Simplify right side
    32,843.88x = 466,522,229.40
  5. Step 5: Solve for x
    x = 466,522,229.40/32,843.88
  6. Step 6: Final answer
    x = 14,204.24

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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.