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Finding the Fourth Proportional to 41.75, 57.62 and 24.50

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Solution

The fourth proportional to 41.75, 57.62 and 24.50 is: 33.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.75 : 57.62 = 24.50 : x
  2. Step 2: Convert to fraction form
    41.75/57.62 = 24.50/x
  3. Step 3: Cross multiply
    41.75x = 57.62 × 24.50
  4. Step 4: Simplify right side
    41.75x = 1,411.57
  5. Step 5: Solve for x
    x = 1,411.57/41.75
  6. Step 6: Final answer
    x = 33.81

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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.