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Finding the Fourth Proportional to 75,514.68, 113,285.70 and 31,116.78

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Solution

The fourth proportional to 75,514.68, 113,285.70 and 31,116.78 is: 46,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,514.68 : 113,285.70 = 31,116.78 : x
  2. Step 2: Convert to fraction form
    75,514.68/113,285.70 = 31,116.78/x
  3. Step 3: Cross multiply
    75,514.68x = 113,285.70 × 31,116.78
  4. Step 4: Simplify right side
    75,514.68x = 3,525,086,204.05
  5. Step 5: Solve for x
    x = 3,525,086,204.05/75,514.68
  6. Step 6: Final answer
    x = 46,680.81

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