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Finding the Fourth Proportional to 32,080.32, 48,121.92 and 11,304

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Solution

The fourth proportional to 32,080.32, 48,121.92 and 11,304 is: 16,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.32 : 48,121.92 = 11,304 : x
  2. Step 2: Convert to fraction form
    32,080.32/48,121.92 = 11,304/x
  3. Step 3: Cross multiply
    32,080.32x = 48,121.92 × 11,304
  4. Step 4: Simplify right side
    32,080.32x = 543,970,183.68
  5. Step 5: Solve for x
    x = 543,970,183.68/32,080.32
  6. Step 6: Final answer
    x = 16,956.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.