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Finding the Fourth Proportional to 53,770.44, 80,672.07 and 27,493.64

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Solution

The fourth proportional to 53,770.44, 80,672.07 and 27,493.64 is: 41,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,770.44 : 80,672.07 = 27,493.64 : x
  2. Step 2: Convert to fraction form
    53,770.44/80,672.07 = 27,493.64/x
  3. Step 3: Cross multiply
    53,770.44x = 80,672.07 × 27,493.64
  4. Step 4: Simplify right side
    53,770.44x = 2,217,968,850.63
  5. Step 5: Solve for x
    x = 2,217,968,850.63/53,770.44
  6. Step 6: Final answer
    x = 41,248.85

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Why These Related Problems?

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