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Finding the Fourth Proportional to 41,874.98, 57,787.70 and 22,754.89

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Solution

The fourth proportional to 41,874.98, 57,787.70 and 22,754.89 is: 31,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,874.98 : 57,787.70 = 22,754.89 : x
  2. Step 2: Convert to fraction form
    41,874.98/57,787.70 = 22,754.89/x
  3. Step 3: Cross multiply
    41,874.98x = 57,787.70 × 22,754.89
  4. Step 4: Simplify right side
    41,874.98x = 1,314,952,715.31
  5. Step 5: Solve for x
    x = 1,314,952,715.31/41,874.98
  6. Step 6: Final answer
    x = 31,401.87

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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.