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Finding the Fourth Proportional to 48,791.44, 67,333.52 and 27,570.24

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Solution

The fourth proportional to 48,791.44, 67,333.52 and 27,570.24 is: 38,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,791.44 : 67,333.52 = 27,570.24 : x
  2. Step 2: Convert to fraction form
    48,791.44/67,333.52 = 27,570.24/x
  3. Step 3: Cross multiply
    48,791.44x = 67,333.52 × 27,570.24
  4. Step 4: Simplify right side
    48,791.44x = 1,856,401,306.44
  5. Step 5: Solve for x
    x = 1,856,401,306.44/48,791.44
  6. Step 6: Final answer
    x = 38,047.68

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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.