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Finding the Fourth Proportional to 36.53, 50.38 and 24.86

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Solution

The fourth proportional to 36.53, 50.38 and 24.86 is: 34.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.53 : 50.38 = 24.86 : x
  2. Step 2: Convert to fraction form
    36.53/50.38 = 24.86/x
  3. Step 3: Cross multiply
    36.53x = 50.38 × 24.86
  4. Step 4: Simplify right side
    36.53x = 1,252.51
  5. Step 5: Solve for x
    x = 1,252.51/36.53
  6. Step 6: Final answer
    x = 34.28

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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.