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Finding the Fourth Proportional to 36.53, 50.43 and 32.63

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Solution

The fourth proportional to 36.53, 50.43 and 32.63 is: 45.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.53 : 50.43 = 32.63 : x
  2. Step 2: Convert to fraction form
    36.53/50.43 = 32.63/x
  3. Step 3: Cross multiply
    36.53x = 50.43 × 32.63
  4. Step 4: Simplify right side
    36.53x = 1,645.12
  5. Step 5: Solve for x
    x = 1,645.12/36.53
  6. Step 6: Final answer
    x = 45.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.