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Finding the Fourth Proportional to 40,414.84, 55,774.21 and 22,509.85

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Solution

The fourth proportional to 40,414.84, 55,774.21 and 22,509.85 is: 31,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,414.84 : 55,774.21 = 22,509.85 : x
  2. Step 2: Convert to fraction form
    40,414.84/55,774.21 = 22,509.85/x
  3. Step 3: Cross multiply
    40,414.84x = 55,774.21 × 22,509.85
  4. Step 4: Simplify right side
    40,414.84x = 1,255,469,100.97
  5. Step 5: Solve for x
    x = 1,255,469,100.97/40,414.84
  6. Step 6: Final answer
    x = 31,064.56

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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.