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Finding the Fourth Proportional to 32,177.28, 48,265.96 and 8,803.92

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Solution

The fourth proportional to 32,177.28, 48,265.96 and 8,803.92 is: 13,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.28 : 48,265.96 = 8,803.92 : x
  2. Step 2: Convert to fraction form
    32,177.28/48,265.96 = 8,803.92/x
  3. Step 3: Cross multiply
    32,177.28x = 48,265.96 × 8,803.92
  4. Step 4: Simplify right side
    32,177.28x = 424,929,650.56
  5. Step 5: Solve for x
    x = 424,929,650.56/32,177.28
  6. Step 6: Final answer
    x = 13,205.89

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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.