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Finding the Fourth Proportional to 38,306.49, 52,859.16 and 23,963.55

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Solution

The fourth proportional to 38,306.49, 52,859.16 and 23,963.55 is: 33,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,306.49 : 52,859.16 = 23,963.55 : x
  2. Step 2: Convert to fraction form
    38,306.49/52,859.16 = 23,963.55/x
  3. Step 3: Cross multiply
    38,306.49x = 52,859.16 × 23,963.55
  4. Step 4: Simplify right side
    38,306.49x = 1,266,693,123.62
  5. Step 5: Solve for x
    x = 1,266,693,123.62/38,306.49
  6. Step 6: Final answer
    x = 33,067.32

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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.