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Finding the Fourth Proportional to 36.41, 50.23 and 24.13

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Solution

The fourth proportional to 36.41, 50.23 and 24.13 is: 33.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.41 : 50.23 = 24.13 : x
  2. Step 2: Convert to fraction form
    36.41/50.23 = 24.13/x
  3. Step 3: Cross multiply
    36.41x = 50.23 × 24.13
  4. Step 4: Simplify right side
    36.41x = 1,211.80
  5. Step 5: Solve for x
    x = 1,211.80/36.41
  6. Step 6: Final answer
    x = 33.28

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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.