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Finding the Fourth Proportional to 53,811.86, 80,647.59 and 33,540.24

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Solution

The fourth proportional to 53,811.86, 80,647.59 and 33,540.24 is: 50,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,811.86 : 80,647.59 = 33,540.24 : x
  2. Step 2: Convert to fraction form
    53,811.86/80,647.59 = 33,540.24/x
  3. Step 3: Cross multiply
    53,811.86x = 80,647.59 × 33,540.24
  4. Step 4: Simplify right side
    53,811.86x = 2,704,939,524.02
  5. Step 5: Solve for x
    x = 2,704,939,524.02/53,811.86
  6. Step 6: Final answer
    x = 50,266.61

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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.