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Finding the Fourth Proportional to 118,578.97, 177,855.31 and 29,832.49

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Solution

The fourth proportional to 118,578.97, 177,855.31 and 29,832.49 is: 44,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,578.97 : 177,855.31 = 29,832.49 : x
  2. Step 2: Convert to fraction form
    118,578.97/177,855.31 = 29,832.49/x
  3. Step 3: Cross multiply
    118,578.97x = 177,855.31 × 29,832.49
  4. Step 4: Simplify right side
    118,578.97x = 5,305,866,757.02
  5. Step 5: Solve for x
    x = 5,305,866,757.02/118,578.97
  6. Step 6: Final answer
    x = 44,745.43

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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.