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Finding the Fourth Proportional to 31,771.40, 47,630.68 and 24,782.38

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Solution

The fourth proportional to 31,771.40, 47,630.68 and 24,782.38 is: 37,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.40 : 47,630.68 = 24,782.38 : x
  2. Step 2: Convert to fraction form
    31,771.40/47,630.68 = 24,782.38/x
  3. Step 3: Cross multiply
    31,771.40x = 47,630.68 × 24,782.38
  4. Step 4: Simplify right side
    31,771.40x = 1,180,401,611.42
  5. Step 5: Solve for x
    x = 1,180,401,611.42/31,771.40
  6. Step 6: Final answer
    x = 37,152.96

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