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Finding the Fourth Proportional to 53,644.50, 80,481.27 and 16,205.80

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Solution

The fourth proportional to 53,644.50, 80,481.27 and 16,205.80 is: 24,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,644.50 : 80,481.27 = 16,205.80 : x
  2. Step 2: Convert to fraction form
    53,644.50/80,481.27 = 16,205.80/x
  3. Step 3: Cross multiply
    53,644.50x = 80,481.27 × 16,205.80
  4. Step 4: Simplify right side
    53,644.50x = 1,304,263,365.37
  5. Step 5: Solve for x
    x = 1,304,263,365.37/53,644.50
  6. Step 6: Final answer
    x = 24,313.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.