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Finding the Fourth Proportional to 48,722.32, 67,249.80 and 27,514

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Solution

The fourth proportional to 48,722.32, 67,249.80 and 27,514 is: 37,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,722.32 : 67,249.80 = 27,514 : x
  2. Step 2: Convert to fraction form
    48,722.32/67,249.80 = 27,514/x
  3. Step 3: Cross multiply
    48,722.32x = 67,249.80 × 27,514
  4. Step 4: Simplify right side
    48,722.32x = 1,850,310,997.20
  5. Step 5: Solve for x
    x = 1,850,310,997.20/48,722.32
  6. Step 6: Final answer
    x = 37,976.66

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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.