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Finding the Fourth Proportional to 31,969.43, 47,950.73 and 9,782.78

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Solution

The fourth proportional to 31,969.43, 47,950.73 and 9,782.78 is: 14,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.43 : 47,950.73 = 9,782.78 : x
  2. Step 2: Convert to fraction form
    31,969.43/47,950.73 = 9,782.78/x
  3. Step 3: Cross multiply
    31,969.43x = 47,950.73 × 9,782.78
  4. Step 4: Simplify right side
    31,969.43x = 469,091,245.48
  5. Step 5: Solve for x
    x = 469,091,245.48/31,969.43
  6. Step 6: Final answer
    x = 14,673.12

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