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Finding the Fourth Proportional to 48,791.98, 67,334.25 and 27,570.76

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Solution

The fourth proportional to 48,791.98, 67,334.25 and 27,570.76 is: 38,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,791.98 : 67,334.25 = 27,570.76 : x
  2. Step 2: Convert to fraction form
    48,791.98/67,334.25 = 27,570.76/x
  3. Step 3: Cross multiply
    48,791.98x = 67,334.25 × 27,570.76
  4. Step 4: Simplify right side
    48,791.98x = 1,856,456,446.53
  5. Step 5: Solve for x
    x = 1,856,456,446.53/48,791.98
  6. Step 6: Final answer
    x = 38,048.39

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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.