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Finding the Fourth Proportional to 29,784.22, 41,074.79 and 20,238.41

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Solution

The fourth proportional to 29,784.22, 41,074.79 and 20,238.41 is: 27,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.22 : 41,074.79 = 20,238.41 : x
  2. Step 2: Convert to fraction form
    29,784.22/41,074.79 = 20,238.41/x
  3. Step 3: Cross multiply
    29,784.22x = 41,074.79 × 20,238.41
  4. Step 4: Simplify right side
    29,784.22x = 831,288,593.97
  5. Step 5: Solve for x
    x = 831,288,593.97/29,784.22
  6. Step 6: Final answer
    x = 27,910.37

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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.