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Finding the Fourth Proportional to 75,835.26, 113,774.76 and 31,453.74

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Solution

The fourth proportional to 75,835.26, 113,774.76 and 31,453.74 is: 47,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,835.26 : 113,774.76 = 31,453.74 : x
  2. Step 2: Convert to fraction form
    75,835.26/113,774.76 = 31,453.74/x
  3. Step 3: Cross multiply
    75,835.26x = 113,774.76 × 31,453.74
  4. Step 4: Simplify right side
    75,835.26x = 3,578,641,719.60
  5. Step 5: Solve for x
    x = 3,578,641,719.60/75,835.26
  6. Step 6: Final answer
    x = 47,189.68

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