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Finding the Fourth Proportional to 27,787.85, 41,772.09 and 22,301.31

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Solution

The fourth proportional to 27,787.85, 41,772.09 and 22,301.31 is: 33,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787.85 : 41,772.09 = 22,301.31 : x
  2. Step 2: Convert to fraction form
    27,787.85/41,772.09 = 22,301.31/x
  3. Step 3: Cross multiply
    27,787.85x = 41,772.09 × 22,301.31
  4. Step 4: Simplify right side
    27,787.85x = 931,572,328.44
  5. Step 5: Solve for x
    x = 931,572,328.44/27,787.85
  6. Step 6: Final answer
    x = 33,524.45

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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.