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Finding the Fourth Proportional to 32,171.38, 44,398.32 and 18,028.78

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Solution

The fourth proportional to 32,171.38, 44,398.32 and 18,028.78 is: 24,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.38 : 44,398.32 = 18,028.78 : x
  2. Step 2: Convert to fraction form
    32,171.38/44,398.32 = 18,028.78/x
  3. Step 3: Cross multiply
    32,171.38x = 44,398.32 × 18,028.78
  4. Step 4: Simplify right side
    32,171.38x = 800,447,543.65
  5. Step 5: Solve for x
    x = 800,447,543.65/32,171.38
  6. Step 6: Final answer
    x = 24,880.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.