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Finding the Fourth Proportional to 47.92, 71.79 and 28.62

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Solution

The fourth proportional to 47.92, 71.79 and 28.62 is: 42.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.92 : 71.79 = 28.62 : x
  2. Step 2: Convert to fraction form
    47.92/71.79 = 28.62/x
  3. Step 3: Cross multiply
    47.92x = 71.79 × 28.62
  4. Step 4: Simplify right side
    47.92x = 2,054.63
  5. Step 5: Solve for x
    x = 2,054.63/47.92
  6. Step 6: Final answer
    x = 42.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.