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Finding the Fourth Proportional to 41,859, 57,765.45 and 22,997.34

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Solution

The fourth proportional to 41,859, 57,765.45 and 22,997.34 is: 31,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,859 : 57,765.45 = 22,997.34 : x
  2. Step 2: Convert to fraction form
    41,859/57,765.45 = 22,997.34/x
  3. Step 3: Cross multiply
    41,859x = 57,765.45 × 22,997.34
  4. Step 4: Simplify right side
    41,859x = 1,328,451,578.92
  5. Step 5: Solve for x
    x = 1,328,451,578.92/41,859
  6. Step 6: Final answer
    x = 31,736.34

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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.