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Finding the Fourth Proportional to 31,778, 47,660.20 and 12,049.64

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Solution

The fourth proportional to 31,778, 47,660.20 and 12,049.64 is: 18,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778 : 47,660.20 = 12,049.64 : x
  2. Step 2: Convert to fraction form
    31,778/47,660.20 = 12,049.64/x
  3. Step 3: Cross multiply
    31,778x = 47,660.20 × 12,049.64
  4. Step 4: Simplify right side
    31,778x = 574,288,252.33
  5. Step 5: Solve for x
    x = 574,288,252.33/31,778
  6. Step 6: Final answer
    x = 18,071.88

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