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Finding the Fourth Proportional to 47.62, 71.16 and 36.08

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Solution

The fourth proportional to 47.62, 71.16 and 36.08 is: 53.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.62 : 71.16 = 36.08 : x
  2. Step 2: Convert to fraction form
    47.62/71.16 = 36.08/x
  3. Step 3: Cross multiply
    47.62x = 71.16 × 36.08
  4. Step 4: Simplify right side
    47.62x = 2,567.43
  5. Step 5: Solve for x
    x = 2,567.43/47.62
  6. Step 6: Final answer
    x = 53.91

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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.