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Finding the Fourth Proportional to 38.52, 52.87 and 34.86

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Solution

The fourth proportional to 38.52, 52.87 and 34.86 is: 47.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.52 : 52.87 = 34.86 : x
  2. Step 2: Convert to fraction form
    38.52/52.87 = 34.86/x
  3. Step 3: Cross multiply
    38.52x = 52.87 × 34.86
  4. Step 4: Simplify right side
    38.52x = 1,842.96
  5. Step 5: Solve for x
    x = 1,842.96/38.52
  6. Step 6: Final answer
    x = 47.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.