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Finding the Fourth Proportional to 50.32, 75.30 and 33.12

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Solution

The fourth proportional to 50.32, 75.30 and 33.12 is: 49.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.32 : 75.30 = 33.12 : x
  2. Step 2: Convert to fraction form
    50.32/75.30 = 33.12/x
  3. Step 3: Cross multiply
    50.32x = 75.30 × 33.12
  4. Step 4: Simplify right side
    50.32x = 2,493.94
  5. Step 5: Solve for x
    x = 2,493.94/50.32
  6. Step 6: Final answer
    x = 49.56

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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.