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Finding the Fourth Proportional to 27,840.50, 41,764.62 and 8,120.48

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Solution

The fourth proportional to 27,840.50, 41,764.62 and 8,120.48 is: 12,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.50 : 41,764.62 = 8,120.48 : x
  2. Step 2: Convert to fraction form
    27,840.50/41,764.62 = 8,120.48/x
  3. Step 3: Cross multiply
    27,840.50x = 41,764.62 × 8,120.48
  4. Step 4: Simplify right side
    27,840.50x = 339,148,761.42
  5. Step 5: Solve for x
    x = 339,148,761.42/27,840.50
  6. Step 6: Final answer
    x = 12,181.85

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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.