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Finding the Fourth Proportional to 71,595.38, 98,801.62 and 39,767.24

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Solution

The fourth proportional to 71,595.38, 98,801.62 and 39,767.24 is: 54,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,595.38 : 98,801.62 = 39,767.24 : x
  2. Step 2: Convert to fraction form
    71,595.38/98,801.62 = 39,767.24/x
  3. Step 3: Cross multiply
    71,595.38x = 98,801.62 × 39,767.24
  4. Step 4: Simplify right side
    71,595.38x = 3,929,067,734.93
  5. Step 5: Solve for x
    x = 3,929,067,734.93/71,595.38
  6. Step 6: Final answer
    x = 54,878.79

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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.