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Finding the Fourth Proportional to 78,334.82, 117,618.87 and 31,678.82

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Solution

The fourth proportional to 78,334.82, 117,618.87 and 31,678.82 is: 47,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,334.82 : 117,618.87 = 31,678.82 : x
  2. Step 2: Convert to fraction form
    78,334.82/117,618.87 = 31,678.82/x
  3. Step 3: Cross multiply
    78,334.82x = 117,618.87 × 31,678.82
  4. Step 4: Simplify right side
    78,334.82x = 3,726,027,011.33
  5. Step 5: Solve for x
    x = 3,726,027,011.33/78,334.82
  6. Step 6: Final answer
    x = 47,565.40

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