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Finding the Fourth Proportional to 33,581.39, 50,379.57 and 10,209.65

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Solution

The fourth proportional to 33,581.39, 50,379.57 and 10,209.65 is: 15,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,581.39 : 50,379.57 = 10,209.65 : x
  2. Step 2: Convert to fraction form
    33,581.39/50,379.57 = 10,209.65/x
  3. Step 3: Cross multiply
    33,581.39x = 50,379.57 × 10,209.65
  4. Step 4: Simplify right side
    33,581.39x = 514,357,524.95
  5. Step 5: Solve for x
    x = 514,357,524.95/33,581.39
  6. Step 6: Final answer
    x = 15,316.75

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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.