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Finding the Fourth Proportional to 32,772.96, 49,161.12 and 9,399.60

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Solution

The fourth proportional to 32,772.96, 49,161.12 and 9,399.60 is: 14,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772.96 : 49,161.12 = 9,399.60 : x
  2. Step 2: Convert to fraction form
    32,772.96/49,161.12 = 9,399.60/x
  3. Step 3: Cross multiply
    32,772.96x = 49,161.12 × 9,399.60
  4. Step 4: Simplify right side
    32,772.96x = 462,094,863.55
  5. Step 5: Solve for x
    x = 462,094,863.55/32,772.96
  6. Step 6: Final answer
    x = 14,099.88

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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.