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Finding the Fourth Proportional to 49,164.35, 67,849.20 and 27,654.53

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Solution

The fourth proportional to 49,164.35, 67,849.20 and 27,654.53 is: 38,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,164.35 : 67,849.20 = 27,654.53 : x
  2. Step 2: Convert to fraction form
    49,164.35/67,849.20 = 27,654.53/x
  3. Step 3: Cross multiply
    49,164.35x = 67,849.20 × 27,654.53
  4. Step 4: Simplify right side
    49,164.35x = 1,876,337,397.63
  5. Step 5: Solve for x
    x = 1,876,337,397.63/49,164.35
  6. Step 6: Final answer
    x = 38,164.60

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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.