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Finding the Fourth Proportional to 77,202, 106,538.76 and 41,874

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Solution

The fourth proportional to 77,202, 106,538.76 and 41,874 is: 57,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,202 : 106,538.76 = 41,874 : x
  2. Step 2: Convert to fraction form
    77,202/106,538.76 = 41,874/x
  3. Step 3: Cross multiply
    77,202x = 106,538.76 × 41,874
  4. Step 4: Simplify right side
    77,202x = 4,461,204,036.24
  5. Step 5: Solve for x
    x = 4,461,204,036.24/77,202
  6. Step 6: Final answer
    x = 57,786.12

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