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Finding the Fourth Proportional to 33,404.14, 50,106.17 and 13,682.73

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Solution

The fourth proportional to 33,404.14, 50,106.17 and 13,682.73 is: 20,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,404.14 : 50,106.17 = 13,682.73 : x
  2. Step 2: Convert to fraction form
    33,404.14/50,106.17 = 13,682.73/x
  3. Step 3: Cross multiply
    33,404.14x = 50,106.17 × 13,682.73
  4. Step 4: Simplify right side
    33,404.14x = 685,589,229.65
  5. Step 5: Solve for x
    x = 685,589,229.65/33,404.14
  6. Step 6: Final answer
    x = 20,524.08

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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.