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Finding the Fourth Proportional to 33,633.46, 50,452.48 and 11,144.09

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Solution

The fourth proportional to 33,633.46, 50,452.48 and 11,144.09 is: 16,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.46 : 50,452.48 = 11,144.09 : x
  2. Step 2: Convert to fraction form
    33,633.46/50,452.48 = 11,144.09/x
  3. Step 3: Cross multiply
    33,633.46x = 50,452.48 × 11,144.09
  4. Step 4: Simplify right side
    33,633.46x = 562,246,834.11
  5. Step 5: Solve for x
    x = 562,246,834.11/33,633.46
  6. Step 6: Final answer
    x = 16,716.89

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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.