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Finding the Fourth Proportional to 106,206.52, 159,310.14 and 31,327.60

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Solution

The fourth proportional to 106,206.52, 159,310.14 and 31,327.60 is: 46,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206.52 : 159,310.14 = 31,327.60 : x
  2. Step 2: Convert to fraction form
    106,206.52/159,310.14 = 31,327.60/x
  3. Step 3: Cross multiply
    106,206.52x = 159,310.14 × 31,327.60
  4. Step 4: Simplify right side
    106,206.52x = 4,990,804,341.86
  5. Step 5: Solve for x
    x = 4,990,804,341.86/106,206.52
  6. Step 6: Final answer
    x = 46,991.51

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