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Finding the Fourth Proportional to 49,175.62, 67,862.58 and 27,959.32

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Solution

The fourth proportional to 49,175.62, 67,862.58 and 27,959.32 is: 38,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,175.62 : 67,862.58 = 27,959.32 : x
  2. Step 2: Convert to fraction form
    49,175.62/67,862.58 = 27,959.32/x
  3. Step 3: Cross multiply
    49,175.62x = 67,862.58 × 27,959.32
  4. Step 4: Simplify right side
    49,175.62x = 1,897,391,590.25
  5. Step 5: Solve for x
    x = 1,897,391,590.25/49,175.62
  6. Step 6: Final answer
    x = 38,583.99

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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.