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Finding the Fourth Proportional to 53,843.31, 80,767.68 and 20,566.26

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Solution

The fourth proportional to 53,843.31, 80,767.68 and 20,566.26 is: 30,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,843.31 : 80,767.68 = 20,566.26 : x
  2. Step 2: Convert to fraction form
    53,843.31/80,767.68 = 20,566.26/x
  3. Step 3: Cross multiply
    53,843.31x = 80,767.68 × 20,566.26
  4. Step 4: Simplify right side
    53,843.31x = 1,661,089,106.48
  5. Step 5: Solve for x
    x = 1,661,089,106.48/53,843.31
  6. Step 6: Final answer
    x = 30,850.43

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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.