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Finding the Fourth Proportional to 106,584.69, 159,877.05 and 31,705.91

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Solution

The fourth proportional to 106,584.69, 159,877.05 and 31,705.91 is: 47,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,584.69 : 159,877.05 = 31,705.91 : x
  2. Step 2: Convert to fraction form
    106,584.69/159,877.05 = 31,705.91/x
  3. Step 3: Cross multiply
    106,584.69x = 159,877.05 × 31,705.91
  4. Step 4: Simplify right side
    106,584.69x = 5,069,047,039.62
  5. Step 5: Solve for x
    x = 5,069,047,039.62/106,584.69
  6. Step 6: Final answer
    x = 47,558.86

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