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Finding the Fourth Proportional to 33.50, 50.03 and 32.75

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Solution

The fourth proportional to 33.50, 50.03 and 32.75 is: 48.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.50 : 50.03 = 32.75 : x
  2. Step 2: Convert to fraction form
    33.50/50.03 = 32.75/x
  3. Step 3: Cross multiply
    33.50x = 50.03 × 32.75
  4. Step 4: Simplify right side
    33.50x = 1,638.32
  5. Step 5: Solve for x
    x = 1,638.32/33.50
  6. Step 6: Final answer
    x = 48.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.