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Finding the Fourth Proportional to 49,488.84, 68,291.10 and 27,982.13

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Solution

The fourth proportional to 49,488.84, 68,291.10 and 27,982.13 is: 38,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,488.84 : 68,291.10 = 27,982.13 : x
  2. Step 2: Convert to fraction form
    49,488.84/68,291.10 = 27,982.13/x
  3. Step 3: Cross multiply
    49,488.84x = 68,291.10 × 27,982.13
  4. Step 4: Simplify right side
    49,488.84x = 1,910,930,096.59
  5. Step 5: Solve for x
    x = 1,910,930,096.59/49,488.84
  6. Step 6: Final answer
    x = 38,613.35

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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.