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Finding the Fourth Proportional to 32,106.74, 48,162.21 and 8,414.86

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Solution

The fourth proportional to 32,106.74, 48,162.21 and 8,414.86 is: 12,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.74 : 48,162.21 = 8,414.86 : x
  2. Step 2: Convert to fraction form
    32,106.74/48,162.21 = 8,414.86/x
  3. Step 3: Cross multiply
    32,106.74x = 48,162.21 × 8,414.86
  4. Step 4: Simplify right side
    32,106.74x = 405,278,375.57
  5. Step 5: Solve for x
    x = 405,278,375.57/32,106.74
  6. Step 6: Final answer
    x = 12,622.85

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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.