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Finding the Fourth Proportional to 32,572.28, 48,857.61 and 9,198.38

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Solution

The fourth proportional to 32,572.28, 48,857.61 and 9,198.38 is: 13,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,572.28 : 48,857.61 = 9,198.38 : x
  2. Step 2: Convert to fraction form
    32,572.28/48,857.61 = 9,198.38/x
  3. Step 3: Cross multiply
    32,572.28x = 48,857.61 × 9,198.38
  4. Step 4: Simplify right side
    32,572.28x = 449,410,862.67
  5. Step 5: Solve for x
    x = 449,410,862.67/32,572.28
  6. Step 6: Final answer
    x = 13,797.34

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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.