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Finding the Fourth Proportional to 106,708.30, 160,070.56 and 31,822.60

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Solution

The fourth proportional to 106,708.30, 160,070.56 and 31,822.60 is: 47,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,708.30 : 160,070.56 = 31,822.60 : x
  2. Step 2: Convert to fraction form
    106,708.30/160,070.56 = 31,822.60/x
  3. Step 3: Cross multiply
    106,708.30x = 160,070.56 × 31,822.60
  4. Step 4: Simplify right side
    106,708.30x = 5,093,861,402.66
  5. Step 5: Solve for x
    x = 5,093,861,402.66/106,708.30
  6. Step 6: Final answer
    x = 47,736.32

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