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Finding the Fourth Proportional to 49.25, 67.97 and 32

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Solution

The fourth proportional to 49.25, 67.97 and 32 is: 44.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.25 : 67.97 = 32 : x
  2. Step 2: Convert to fraction form
    49.25/67.97 = 32/x
  3. Step 3: Cross multiply
    49.25x = 67.97 × 32
  4. Step 4: Simplify right side
    49.25x = 2,175.04
  5. Step 5: Solve for x
    x = 2,175.04/49.25
  6. Step 6: Final answer
    x = 44.16

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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.