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Finding the Fourth Proportional to 48,642.94, 67,126.38 and 27,422.24

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Solution

The fourth proportional to 48,642.94, 67,126.38 and 27,422.24 is: 37,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642.94 : 67,126.38 = 27,422.24 : x
  2. Step 2: Convert to fraction form
    48,642.94/67,126.38 = 27,422.24/x
  3. Step 3: Cross multiply
    48,642.94x = 67,126.38 × 27,422.24
  4. Step 4: Simplify right side
    48,642.94x = 1,840,755,702.69
  5. Step 5: Solve for x
    x = 1,840,755,702.69/48,642.94
  6. Step 6: Final answer
    x = 37,842.20

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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.