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Finding the Fourth Proportional to 27,772.25, 41,662.01 and 8,050.37

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Solution

The fourth proportional to 27,772.25, 41,662.01 and 8,050.37 is: 12,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.25 : 41,662.01 = 8,050.37 : x
  2. Step 2: Convert to fraction form
    27,772.25/41,662.01 = 8,050.37/x
  3. Step 3: Cross multiply
    27,772.25x = 41,662.01 × 8,050.37
  4. Step 4: Simplify right side
    27,772.25x = 335,394,407.26
  5. Step 5: Solve for x
    x = 335,394,407.26/27,772.25
  6. Step 6: Final answer
    x = 12,076.60

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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.