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Finding the Fourth Proportional to 33,109.38, 45,691.14 and 18,002.16

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Solution

The fourth proportional to 33,109.38, 45,691.14 and 18,002.16 is: 24,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,109.38 : 45,691.14 = 18,002.16 : x
  2. Step 2: Convert to fraction form
    33,109.38/45,691.14 = 18,002.16/x
  3. Step 3: Cross multiply
    33,109.38x = 45,691.14 × 18,002.16
  4. Step 4: Simplify right side
    33,109.38x = 822,539,212.86
  5. Step 5: Solve for x
    x = 822,539,212.86/33,109.38
  6. Step 6: Final answer
    x = 24,843.09

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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.