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Finding the Fourth Proportional to 76,184.48, 114,294.90 and 31,786.56

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Solution

The fourth proportional to 76,184.48, 114,294.90 and 31,786.56 is: 47,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,184.48 : 114,294.90 = 31,786.56 : x
  2. Step 2: Convert to fraction form
    76,184.48/114,294.90 = 31,786.56/x
  3. Step 3: Cross multiply
    76,184.48x = 114,294.90 × 31,786.56
  4. Step 4: Simplify right side
    76,184.48x = 3,633,041,696.54
  5. Step 5: Solve for x
    x = 3,633,041,696.54/76,184.48
  6. Step 6: Final answer
    x = 47,687.43

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