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Finding the Fourth Proportional to 47,963.85, 66,190.16 and 27,822.29

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Solution

The fourth proportional to 47,963.85, 66,190.16 and 27,822.29 is: 38,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,963.85 : 66,190.16 = 27,822.29 : x
  2. Step 2: Convert to fraction form
    47,963.85/66,190.16 = 27,822.29/x
  3. Step 3: Cross multiply
    47,963.85x = 66,190.16 × 27,822.29
  4. Step 4: Simplify right side
    47,963.85x = 1,841,561,565.27
  5. Step 5: Solve for x
    x = 1,841,561,565.27/47,963.85
  6. Step 6: Final answer
    x = 38,394.79

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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.