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Finding the Fourth Proportional to 41.69, 57.50 and 32.44

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Solution

The fourth proportional to 41.69, 57.50 and 32.44 is: 44.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.69 : 57.50 = 32.44 : x
  2. Step 2: Convert to fraction form
    41.69/57.50 = 32.44/x
  3. Step 3: Cross multiply
    41.69x = 57.50 × 32.44
  4. Step 4: Simplify right side
    41.69x = 1,865.30
  5. Step 5: Solve for x
    x = 1,865.30/41.69
  6. Step 6: Final answer
    x = 44.74

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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.