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Finding the Fourth Proportional to 49,496.60, 68,304.48 and 27,986

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Solution

The fourth proportional to 49,496.60, 68,304.48 and 27,986 is: 38,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,496.60 : 68,304.48 = 27,986 : x
  2. Step 2: Convert to fraction form
    49,496.60/68,304.48 = 27,986/x
  3. Step 3: Cross multiply
    49,496.60x = 68,304.48 × 27,986
  4. Step 4: Simplify right side
    49,496.60x = 1,911,569,177.28
  5. Step 5: Solve for x
    x = 1,911,569,177.28/49,496.60
  6. Step 6: Final answer
    x = 38,620.21

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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.