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Finding the Fourth Proportional to 47,843.62, 66,023.16 and 27,701.38

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Solution

The fourth proportional to 47,843.62, 66,023.16 and 27,701.38 is: 38,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,843.62 : 66,023.16 = 27,701.38 : x
  2. Step 2: Convert to fraction form
    47,843.62/66,023.16 = 27,701.38/x
  3. Step 3: Cross multiply
    47,843.62x = 66,023.16 × 27,701.38
  4. Step 4: Simplify right side
    47,843.62x = 1,828,932,643.96
  5. Step 5: Solve for x
    x = 1,828,932,643.96/47,843.62
  6. Step 6: Final answer
    x = 38,227.30

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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.