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Finding the Fourth Proportional to 36,163.56, 49,911.48 and 27,649.29

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Solution

The fourth proportional to 36,163.56, 49,911.48 and 27,649.29 is: 38,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,163.56 : 49,911.48 = 27,649.29 : x
  2. Step 2: Convert to fraction form
    36,163.56/49,911.48 = 27,649.29/x
  3. Step 3: Cross multiply
    36,163.56x = 49,911.48 × 27,649.29
  4. Step 4: Simplify right side
    36,163.56x = 1,380,016,984.85
  5. Step 5: Solve for x
    x = 1,380,016,984.85/36,163.56
  6. Step 6: Final answer
    x = 38,160.43

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Why These Related Problems?

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