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Finding the Fourth Proportional to 71,361.80, 107,043.78 and 27,009.44

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Solution

The fourth proportional to 71,361.80, 107,043.78 and 27,009.44 is: 40,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,361.80 : 107,043.78 = 27,009.44 : x
  2. Step 2: Convert to fraction form
    71,361.80/107,043.78 = 27,009.44/x
  3. Step 3: Cross multiply
    71,361.80x = 107,043.78 × 27,009.44
  4. Step 4: Simplify right side
    71,361.80x = 2,891,192,553.28
  5. Step 5: Solve for x
    x = 2,891,192,553.28/71,361.80
  6. Step 6: Final answer
    x = 40,514.57

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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.