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Finding the Fourth Proportional to 33.63, 50.07 and 32.07

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Solution

The fourth proportional to 33.63, 50.07 and 32.07 is: 47.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.63 : 50.07 = 32.07 : x
  2. Step 2: Convert to fraction form
    33.63/50.07 = 32.07/x
  3. Step 3: Cross multiply
    33.63x = 50.07 × 32.07
  4. Step 4: Simplify right side
    33.63x = 1,605.74
  5. Step 5: Solve for x
    x = 1,605.74/33.63
  6. Step 6: Final answer
    x = 47.75

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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.