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Finding the Fourth Proportional to 77,638.64, 116,429.31 and 27,705.38

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Solution

The fourth proportional to 77,638.64, 116,429.31 and 27,705.38 is: 41,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,638.64 : 116,429.31 = 27,705.38 : x
  2. Step 2: Convert to fraction form
    77,638.64/116,429.31 = 27,705.38/x
  3. Step 3: Cross multiply
    77,638.64x = 116,429.31 × 27,705.38
  4. Step 4: Simplify right side
    77,638.64x = 3,225,717,694.54
  5. Step 5: Solve for x
    x = 3,225,717,694.54/77,638.64
  6. Step 6: Final answer
    x = 41,547.84

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