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Finding the Fourth Proportional to 106,461.60, 159,665.14 and 31,564.24

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Solution

The fourth proportional to 106,461.60, 159,665.14 and 31,564.24 is: 47,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,461.60 : 159,665.14 = 31,564.24 : x
  2. Step 2: Convert to fraction form
    106,461.60/159,665.14 = 31,564.24/x
  3. Step 3: Cross multiply
    106,461.60x = 159,665.14 × 31,564.24
  4. Step 4: Simplify right side
    106,461.60x = 5,039,708,798.59
  5. Step 5: Solve for x
    x = 5,039,708,798.59/106,461.60
  6. Step 6: Final answer
    x = 47,338.28

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