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Finding the Fourth Proportional to 31,516.98, 47,291.94 and 20,420.80

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Solution

The fourth proportional to 31,516.98, 47,291.94 and 20,420.80 is: 30,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516.98 : 47,291.94 = 20,420.80 : x
  2. Step 2: Convert to fraction form
    31,516.98/47,291.94 = 20,420.80/x
  3. Step 3: Cross multiply
    31,516.98x = 47,291.94 × 20,420.80
  4. Step 4: Simplify right side
    31,516.98x = 965,739,248.35
  5. Step 5: Solve for x
    x = 965,739,248.35/31,516.98
  6. Step 6: Final answer
    x = 30,641.87

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