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Finding the Fourth Proportional to 55,102.97, 82,678.89 and 31,409.66

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Solution

The fourth proportional to 55,102.97, 82,678.89 and 31,409.66 is: 47,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.97 : 82,678.89 = 31,409.66 : x
  2. Step 2: Convert to fraction form
    55,102.97/82,678.89 = 31,409.66/x
  3. Step 3: Cross multiply
    55,102.97x = 82,678.89 × 31,409.66
  4. Step 4: Simplify right side
    55,102.97x = 2,596,916,148.56
  5. Step 5: Solve for x
    x = 2,596,916,148.56/55,102.97
  6. Step 6: Final answer
    x = 47,128.42

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