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Finding the Fourth Proportional to 81,757.84, 112,826.82 and 49,922.32

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Solution

The fourth proportional to 81,757.84, 112,826.82 and 49,922.32 is: 68,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,757.84 : 112,826.82 = 49,922.32 : x
  2. Step 2: Convert to fraction form
    81,757.84/112,826.82 = 49,922.32/x
  3. Step 3: Cross multiply
    81,757.84x = 112,826.82 × 49,922.32
  4. Step 4: Simplify right side
    81,757.84x = 5,632,576,612.62
  5. Step 5: Solve for x
    x = 5,632,576,612.62/81,757.84
  6. Step 6: Final answer
    x = 68,893.41

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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.