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Finding the Fourth Proportional to 83,782.23, 115,624.71 and 47,971.32

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Solution

The fourth proportional to 83,782.23, 115,624.71 and 47,971.32 is: 66,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782.23 : 115,624.71 = 47,971.32 : x
  2. Step 2: Convert to fraction form
    83,782.23/115,624.71 = 47,971.32/x
  3. Step 3: Cross multiply
    83,782.23x = 115,624.71 × 47,971.32
  4. Step 4: Simplify right side
    83,782.23x = 5,546,669,963.32
  5. Step 5: Solve for x
    x = 5,546,669,963.32/83,782.23
  6. Step 6: Final answer
    x = 66,203.42

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