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Finding the Fourth Proportional to 109,893.46, 164,853.54 and 31,007.70

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Solution

The fourth proportional to 109,893.46, 164,853.54 and 31,007.70 is: 46,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,893.46 : 164,853.54 = 31,007.70 : x
  2. Step 2: Convert to fraction form
    109,893.46/164,853.54 = 31,007.70/x
  3. Step 3: Cross multiply
    109,893.46x = 164,853.54 × 31,007.70
  4. Step 4: Simplify right side
    109,893.46x = 5,111,729,112.26
  5. Step 5: Solve for x
    x = 5,111,729,112.26/109,893.46
  6. Step 6: Final answer
    x = 46,515.32

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