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Finding the Fourth Proportional to 33,684.49, 50,512.83 and 11,499.65

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Solution

The fourth proportional to 33,684.49, 50,512.83 and 11,499.65 is: 17,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684.49 : 50,512.83 = 11,499.65 : x
  2. Step 2: Convert to fraction form
    33,684.49/50,512.83 = 11,499.65/x
  3. Step 3: Cross multiply
    33,684.49x = 50,512.83 × 11,499.65
  4. Step 4: Simplify right side
    33,684.49x = 580,879,759.24
  5. Step 5: Solve for x
    x = 580,879,759.24/33,684.49
  6. Step 6: Final answer
    x = 17,244.72

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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.