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Finding the Fourth Proportional to 83,997.82, 125,930.13 and 44,009.14

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Solution

The fourth proportional to 83,997.82, 125,930.13 and 44,009.14 is: 65,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,997.82 : 125,930.13 = 44,009.14 : x
  2. Step 2: Convert to fraction form
    83,997.82/125,930.13 = 44,009.14/x
  3. Step 3: Cross multiply
    83,997.82x = 125,930.13 × 44,009.14
  4. Step 4: Simplify right side
    83,997.82x = 5,542,076,721.39
  5. Step 5: Solve for x
    x = 5,542,076,721.39/83,997.82
  6. Step 6: Final answer
    x = 65,978.82

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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.