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Finding the Fourth Proportional to 53,770.94, 80,672.82 and 27,494.14

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Solution

The fourth proportional to 53,770.94, 80,672.82 and 27,494.14 is: 41,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,770.94 : 80,672.82 = 27,494.14 : x
  2. Step 2: Convert to fraction form
    53,770.94/80,672.82 = 27,494.14/x
  3. Step 3: Cross multiply
    53,770.94x = 80,672.82 × 27,494.14
  4. Step 4: Simplify right side
    53,770.94x = 2,218,029,807.27
  5. Step 5: Solve for x
    x = 2,218,029,807.27/53,770.94
  6. Step 6: Final answer
    x = 41,249.60

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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.