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Finding the Fourth Proportional to 36.48, 50.23 and 31.87

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Solution

The fourth proportional to 36.48, 50.23 and 31.87 is: 43.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.48 : 50.23 = 31.87 : x
  2. Step 2: Convert to fraction form
    36.48/50.23 = 31.87/x
  3. Step 3: Cross multiply
    36.48x = 50.23 × 31.87
  4. Step 4: Simplify right side
    36.48x = 1,600.83
  5. Step 5: Solve for x
    x = 1,600.83/36.48
  6. Step 6: Final answer
    x = 43.88

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