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Finding the Fourth Proportional to 32,152.92, 48,222.14 and 8,781.24

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Solution

The fourth proportional to 32,152.92, 48,222.14 and 8,781.24 is: 13,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.92 : 48,222.14 = 8,781.24 : x
  2. Step 2: Convert to fraction form
    32,152.92/48,222.14 = 8,781.24/x
  3. Step 3: Cross multiply
    32,152.92x = 48,222.14 × 8,781.24
  4. Step 4: Simplify right side
    32,152.92x = 423,450,184.65
  5. Step 5: Solve for x
    x = 423,450,184.65/32,152.92
  6. Step 6: Final answer
    x = 13,169.88

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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.