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Finding the Fourth Proportional to 27,870.80, 41,804.57 and 20,381.94

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Solution

The fourth proportional to 27,870.80, 41,804.57 and 20,381.94 is: 30,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.80 : 41,804.57 = 20,381.94 : x
  2. Step 2: Convert to fraction form
    27,870.80/41,804.57 = 20,381.94/x
  3. Step 3: Cross multiply
    27,870.80x = 41,804.57 × 20,381.94
  4. Step 4: Simplify right side
    27,870.80x = 852,058,288.42
  5. Step 5: Solve for x
    x = 852,058,288.42/27,870.80
  6. Step 6: Final answer
    x = 30,571.73

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