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Finding the Fourth Proportional to 33,494.50, 50,240.26 and 13,772.62

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Solution

The fourth proportional to 33,494.50, 50,240.26 and 13,772.62 is: 20,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,494.50 : 50,240.26 = 13,772.62 : x
  2. Step 2: Convert to fraction form
    33,494.50/50,240.26 = 13,772.62/x
  3. Step 3: Cross multiply
    33,494.50x = 50,240.26 × 13,772.62
  4. Step 4: Simplify right side
    33,494.50x = 691,940,009.68
  5. Step 5: Solve for x
    x = 691,940,009.68/33,494.50
  6. Step 6: Final answer
    x = 20,658.32

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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.