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Finding the Fourth Proportional to 36.86, 50.78 and 32.49

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Solution

The fourth proportional to 36.86, 50.78 and 32.49 is: 44.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.86 : 50.78 = 32.49 : x
  2. Step 2: Convert to fraction form
    36.86/50.78 = 32.49/x
  3. Step 3: Cross multiply
    36.86x = 50.78 × 32.49
  4. Step 4: Simplify right side
    36.86x = 1,649.92
  5. Step 5: Solve for x
    x = 1,649.92/36.86
  6. Step 6: Final answer
    x = 44.77

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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.