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Finding the Fourth Proportional to 33,231.87, 49,827.72 and 13,244.44

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Solution

The fourth proportional to 33,231.87, 49,827.72 and 13,244.44 is: 19,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.87 : 49,827.72 = 13,244.44 : x
  2. Step 2: Convert to fraction form
    33,231.87/49,827.72 = 13,244.44/x
  3. Step 3: Cross multiply
    33,231.87x = 49,827.72 × 13,244.44
  4. Step 4: Simplify right side
    33,231.87x = 659,940,247.88
  5. Step 5: Solve for x
    x = 659,940,247.88/33,231.87
  6. Step 6: Final answer
    x = 19,858.66

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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.