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Finding the Fourth Proportional to 75,841.52, 113,767.27 and 31,471.83

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Solution

The fourth proportional to 75,841.52, 113,767.27 and 31,471.83 is: 47,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,841.52 : 113,767.27 = 31,471.83 : x
  2. Step 2: Convert to fraction form
    75,841.52/113,767.27 = 31,471.83/x
  3. Step 3: Cross multiply
    75,841.52x = 113,767.27 × 31,471.83
  4. Step 4: Simplify right side
    75,841.52x = 3,580,464,102.32
  5. Step 5: Solve for x
    x = 3,580,464,102.32/75,841.52
  6. Step 6: Final answer
    x = 47,209.82

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