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Finding the Fourth Proportional to 32,065.74, 48,098.61 and 8,691.57

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Solution

The fourth proportional to 32,065.74, 48,098.61 and 8,691.57 is: 13,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.74 : 48,098.61 = 8,691.57 : x
  2. Step 2: Convert to fraction form
    32,065.74/48,098.61 = 8,691.57/x
  3. Step 3: Cross multiply
    32,065.74x = 48,098.61 × 8,691.57
  4. Step 4: Simplify right side
    32,065.74x = 418,052,435.72
  5. Step 5: Solve for x
    x = 418,052,435.72/32,065.74
  6. Step 6: Final answer
    x = 13,037.36

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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.