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Finding the Fourth Proportional to 51,413.80, 77,139.90 and 20,270.76

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Solution

The fourth proportional to 51,413.80, 77,139.90 and 20,270.76 is: 30,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,413.80 : 77,139.90 = 20,270.76 : x
  2. Step 2: Convert to fraction form
    51,413.80/77,139.90 = 20,270.76/x
  3. Step 3: Cross multiply
    51,413.80x = 77,139.90 × 20,270.76
  4. Step 4: Simplify right side
    51,413.80x = 1,563,684,399.32
  5. Step 5: Solve for x
    x = 1,563,684,399.32/51,413.80
  6. Step 6: Final answer
    x = 30,413.71

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