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Finding the Fourth Proportional to 78,536.44, 117,853.86 and 31,789.31

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Solution

The fourth proportional to 78,536.44, 117,853.86 and 31,789.31 is: 47,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,536.44 : 117,853.86 = 31,789.31 : x
  2. Step 2: Convert to fraction form
    78,536.44/117,853.86 = 31,789.31/x
  3. Step 3: Cross multiply
    78,536.44x = 117,853.86 × 31,789.31
  4. Step 4: Simplify right side
    78,536.44x = 3,746,492,993.70
  5. Step 5: Solve for x
    x = 3,746,492,993.70/78,536.44
  6. Step 6: Final answer
    x = 47,703.88

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