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Finding the Fourth Proportional to 36.20, 49.76 and 32.24

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Solution

The fourth proportional to 36.20, 49.76 and 32.24 is: 44.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.20 : 49.76 = 32.24 : x
  2. Step 2: Convert to fraction form
    36.20/49.76 = 32.24/x
  3. Step 3: Cross multiply
    36.20x = 49.76 × 32.24
  4. Step 4: Simplify right side
    36.20x = 1,603.85
  5. Step 5: Solve for x
    x = 1,603.85/36.20
  6. Step 6: Final answer
    x = 44.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.