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Finding the Fourth Proportional to 75,853.56, 113,731.74 and 31,510.92

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Solution

The fourth proportional to 75,853.56, 113,731.74 and 31,510.92 is: 47,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,853.56 : 113,731.74 = 31,510.92 : x
  2. Step 2: Convert to fraction form
    75,853.56/113,731.74 = 31,510.92/x
  3. Step 3: Cross multiply
    75,853.56x = 113,731.74 × 31,510.92
  4. Step 4: Simplify right side
    75,853.56x = 3,583,791,760.60
  5. Step 5: Solve for x
    x = 3,583,791,760.60/75,853.56
  6. Step 6: Final answer
    x = 47,246.19

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