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Finding the Fourth Proportional to 49,909, 68,874.51 and 27,553

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Solution

The fourth proportional to 49,909, 68,874.51 and 27,553 is: 38,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,909 : 68,874.51 = 27,553 : x
  2. Step 2: Convert to fraction form
    49,909/68,874.51 = 27,553/x
  3. Step 3: Cross multiply
    49,909x = 68,874.51 × 27,553
  4. Step 4: Simplify right side
    49,909x = 1,897,699,374.03
  5. Step 5: Solve for x
    x = 1,897,699,374.03/49,909
  6. Step 6: Final answer
    x = 38,023.19

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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.