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Finding the Fourth Proportional to 32,963.52, 49,449.92 and 9,591.68

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Solution

The fourth proportional to 32,963.52, 49,449.92 and 9,591.68 is: 14,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.52 : 49,449.92 = 9,591.68 : x
  2. Step 2: Convert to fraction form
    32,963.52/49,449.92 = 9,591.68/x
  3. Step 3: Cross multiply
    32,963.52x = 49,449.92 × 9,591.68
  4. Step 4: Simplify right side
    32,963.52x = 474,307,808.67
  5. Step 5: Solve for x
    x = 474,307,808.67/32,963.52
  6. Step 6: Final answer
    x = 14,388.87

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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.