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Finding the Fourth Proportional to 52.23, 78.22 and 31.96

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Solution

The fourth proportional to 52.23, 78.22 and 31.96 is: 47.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 78.22 = 31.96 : x
  2. Step 2: Convert to fraction form
    52.23/78.22 = 31.96/x
  3. Step 3: Cross multiply
    52.23x = 78.22 × 31.96
  4. Step 4: Simplify right side
    52.23x = 2,499.64
  5. Step 5: Solve for x
    x = 2,499.64/52.23
  6. Step 6: Final answer
    x = 47.86

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