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Finding the Fourth Proportional to 38.44, 57.64 and 32

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Solution

The fourth proportional to 38.44, 57.64 and 32 is: 47.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.44 : 57.64 = 32 : x
  2. Step 2: Convert to fraction form
    38.44/57.64 = 32/x
  3. Step 3: Cross multiply
    38.44x = 57.64 × 32
  4. Step 4: Simplify right side
    38.44x = 1,844.48
  5. Step 5: Solve for x
    x = 1,844.48/38.44
  6. Step 6: Final answer
    x = 47.98

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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.