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Finding the Fourth Proportional to 78,516.36, 117,705.38 and 31,164.71

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Solution

The fourth proportional to 78,516.36, 117,705.38 and 31,164.71 is: 46,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,516.36 : 117,705.38 = 31,164.71 : x
  2. Step 2: Convert to fraction form
    78,516.36/117,705.38 = 31,164.71/x
  3. Step 3: Cross multiply
    78,516.36x = 117,705.38 × 31,164.71
  4. Step 4: Simplify right side
    78,516.36x = 3,668,253,288.79
  5. Step 5: Solve for x
    x = 3,668,253,288.79/78,516.36
  6. Step 6: Final answer
    x = 46,719.60

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