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Finding the Fourth Proportional to 41,773.14, 57,647 and 22,910.40

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Solution

The fourth proportional to 41,773.14, 57,647 and 22,910.40 is: 31,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,773.14 : 57,647 = 22,910.40 : x
  2. Step 2: Convert to fraction form
    41,773.14/57,647 = 22,910.40/x
  3. Step 3: Cross multiply
    41,773.14x = 57,647 × 22,910.40
  4. Step 4: Simplify right side
    41,773.14x = 1,320,715,828.80
  5. Step 5: Solve for x
    x = 1,320,715,828.80/41,773.14
  6. Step 6: Final answer
    x = 31,616.39

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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.