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Finding the Fourth Proportional to 33.24, 49.96 and 32.47

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Solution

The fourth proportional to 33.24, 49.96 and 32.47 is: 48.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.24 : 49.96 = 32.47 : x
  2. Step 2: Convert to fraction form
    33.24/49.96 = 32.47/x
  3. Step 3: Cross multiply
    33.24x = 49.96 × 32.47
  4. Step 4: Simplify right side
    33.24x = 1,622.20
  5. Step 5: Solve for x
    x = 1,622.20/33.24
  6. Step 6: Final answer
    x = 48.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.