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Finding the Fourth Proportional to 83,166.44, 124,768.38 and 27,761

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Solution

The fourth proportional to 83,166.44, 124,768.38 and 27,761 is: 41,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,166.44 : 124,768.38 = 27,761 : x
  2. Step 2: Convert to fraction form
    83,166.44/124,768.38 = 27,761/x
  3. Step 3: Cross multiply
    83,166.44x = 124,768.38 × 27,761
  4. Step 4: Simplify right side
    83,166.44x = 3,463,694,997.18
  5. Step 5: Solve for x
    x = 3,463,694,997.18/83,166.44
  6. Step 6: Final answer
    x = 41,647.75

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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.