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Finding the Fourth Proportional to 41,600, 57,408.18 and 22,737.08

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Solution

The fourth proportional to 41,600, 57,408.18 and 22,737.08 is: 31,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,600 : 57,408.18 = 22,737.08 : x
  2. Step 2: Convert to fraction form
    41,600/57,408.18 = 22,737.08/x
  3. Step 3: Cross multiply
    41,600x = 57,408.18 × 22,737.08
  4. Step 4: Simplify right side
    41,600x = 1,305,294,381.31
  5. Step 5: Solve for x
    x = 1,305,294,381.31/41,600
  6. Step 6: Final answer
    x = 31,377.27

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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.