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Finding the Fourth Proportional to 84,839.91, 117,066.04 and 49,022.97

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Solution

The fourth proportional to 84,839.91, 117,066.04 and 49,022.97 is: 67,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,839.91 : 117,066.04 = 49,022.97 : x
  2. Step 2: Convert to fraction form
    84,839.91/117,066.04 = 49,022.97/x
  3. Step 3: Cross multiply
    84,839.91x = 117,066.04 × 49,022.97
  4. Step 4: Simplify right side
    84,839.91x = 5,738,924,844.38
  5. Step 5: Solve for x
    x = 5,738,924,844.38/84,839.91
  6. Step 6: Final answer
    x = 67,644.16

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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.