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Finding the Fourth Proportional to 47.62, 71.11 and 41.54

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Solution

The fourth proportional to 47.62, 71.11 and 41.54 is: 62.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.62 : 71.11 = 41.54 : x
  2. Step 2: Convert to fraction form
    47.62/71.11 = 41.54/x
  3. Step 3: Cross multiply
    47.62x = 71.11 × 41.54
  4. Step 4: Simplify right side
    47.62x = 2,954.14
  5. Step 5: Solve for x
    x = 2,954.14/47.62
  6. Step 6: Final answer
    x = 62.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.