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Finding the Fourth Proportional to 47.02, 64.91 and 31.49

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Solution

The fourth proportional to 47.02, 64.91 and 31.49 is: 43.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.02 : 64.91 = 31.49 : x
  2. Step 2: Convert to fraction form
    47.02/64.91 = 31.49/x
  3. Step 3: Cross multiply
    47.02x = 64.91 × 31.49
  4. Step 4: Simplify right side
    47.02x = 2,043.96
  5. Step 5: Solve for x
    x = 2,043.96/47.02
  6. Step 6: Final answer
    x = 43.47

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