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Finding the Fourth Proportional to 41,906.84, 57,832.32 and 22,787.60

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Solution

The fourth proportional to 41,906.84, 57,832.32 and 22,787.60 is: 31,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,906.84 : 57,832.32 = 22,787.60 : x
  2. Step 2: Convert to fraction form
    41,906.84/57,832.32 = 22,787.60/x
  3. Step 3: Cross multiply
    41,906.84x = 57,832.32 × 22,787.60
  4. Step 4: Simplify right side
    41,906.84x = 1,317,859,775.23
  5. Step 5: Solve for x
    x = 1,317,859,775.23/41,906.84
  6. Step 6: Final answer
    x = 31,447.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.