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Finding the Fourth Proportional to 36,299, 50,101.26 and 22,163.78

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Solution

The fourth proportional to 36,299, 50,101.26 and 22,163.78 is: 30,591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,299 : 50,101.26 = 22,163.78 : x
  2. Step 2: Convert to fraction form
    36,299/50,101.26 = 22,163.78/x
  3. Step 3: Cross multiply
    36,299x = 50,101.26 × 22,163.78
  4. Step 4: Simplify right side
    36,299x = 1,110,433,304.36
  5. Step 5: Solve for x
    x = 1,110,433,304.36/36,299
  6. Step 6: Final answer
    x = 30,591.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.