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Finding the Fourth Proportional to 75,840.86, 113,761.33 and 31,455.69

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Solution

The fourth proportional to 75,840.86, 113,761.33 and 31,455.69 is: 47,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,840.86 : 113,761.33 = 31,455.69 : x
  2. Step 2: Convert to fraction form
    75,840.86/113,761.33 = 31,455.69/x
  3. Step 3: Cross multiply
    75,840.86x = 113,761.33 × 31,455.69
  4. Step 4: Simplify right side
    75,840.86x = 3,578,441,130.47
  5. Step 5: Solve for x
    x = 3,578,441,130.47/75,840.86
  6. Step 6: Final answer
    x = 47,183.55

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