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Finding the Fourth Proportional to 27,845.70, 41,770.15 and 8,127.30

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Solution

The fourth proportional to 27,845.70, 41,770.15 and 8,127.30 is: 12,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,845.70 : 41,770.15 = 8,127.30 : x
  2. Step 2: Convert to fraction form
    27,845.70/41,770.15 = 8,127.30/x
  3. Step 3: Cross multiply
    27,845.70x = 41,770.15 × 8,127.30
  4. Step 4: Simplify right side
    27,845.70x = 339,478,540.10
  5. Step 5: Solve for x
    x = 339,478,540.10/27,845.70
  6. Step 6: Final answer
    x = 12,191.42

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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.