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Finding the Fourth Proportional to 49,164.84, 67,845.47 and 27,654.08

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Solution

The fourth proportional to 49,164.84, 67,845.47 and 27,654.08 is: 38,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,164.84 : 67,845.47 = 27,654.08 : x
  2. Step 2: Convert to fraction form
    49,164.84/67,845.47 = 27,654.08/x
  3. Step 3: Cross multiply
    49,164.84x = 67,845.47 × 27,654.08
  4. Step 4: Simplify right side
    49,164.84x = 1,876,203,577.52
  5. Step 5: Solve for x
    x = 1,876,203,577.52/49,164.84
  6. Step 6: Final answer
    x = 38,161.49

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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.