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Finding the Fourth Proportional to 76,809.50, 115,062.19 and 36,227.44

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Solution

The fourth proportional to 76,809.50, 115,062.19 and 36,227.44 is: 54,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809.50 : 115,062.19 = 36,227.44 : x
  2. Step 2: Convert to fraction form
    76,809.50/115,062.19 = 36,227.44/x
  3. Step 3: Cross multiply
    76,809.50x = 115,062.19 × 36,227.44
  4. Step 4: Simplify right side
    76,809.50x = 4,168,408,493.93
  5. Step 5: Solve for x
    x = 4,168,408,493.93/76,809.50
  6. Step 6: Final answer
    x = 54,269.44

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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.