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Finding the Fourth Proportional to 47,859, 71,791.38 and 15,027

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Solution

The fourth proportional to 47,859, 71,791.38 and 15,027 is: 22,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,859 : 71,791.38 = 15,027 : x
  2. Step 2: Convert to fraction form
    47,859/71,791.38 = 15,027/x
  3. Step 3: Cross multiply
    47,859x = 71,791.38 × 15,027
  4. Step 4: Simplify right side
    47,859x = 1,078,809,067.26
  5. Step 5: Solve for x
    x = 1,078,809,067.26/47,859
  6. Step 6: Final answer
    x = 22,541.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.