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Finding the Fourth Proportional to 74,077.64, 102,226.96 and 40,086

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Solution

The fourth proportional to 74,077.64, 102,226.96 and 40,086 is: 55,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,077.64 : 102,226.96 = 40,086 : x
  2. Step 2: Convert to fraction form
    74,077.64/102,226.96 = 40,086/x
  3. Step 3: Cross multiply
    74,077.64x = 102,226.96 × 40,086
  4. Step 4: Simplify right side
    74,077.64x = 4,097,869,918.56
  5. Step 5: Solve for x
    x = 4,097,869,918.56/74,077.64
  6. Step 6: Final answer
    x = 55,318.58

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