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Finding the Fourth Proportional to 75,930.68, 113,896.56 and 31,509.20

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Solution

The fourth proportional to 75,930.68, 113,896.56 and 31,509.20 is: 47,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,930.68 : 113,896.56 = 31,509.20 : x
  2. Step 2: Convert to fraction form
    75,930.68/113,896.56 = 31,509.20/x
  3. Step 3: Cross multiply
    75,930.68x = 113,896.56 × 31,509.20
  4. Step 4: Simplify right side
    75,930.68x = 3,588,789,488.35
  5. Step 5: Solve for x
    x = 3,588,789,488.35/75,930.68
  6. Step 6: Final answer
    x = 47,264.02

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