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Finding the Fourth Proportional to 29,786.64, 41,078.12 and 20,240.82

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Solution

The fourth proportional to 29,786.64, 41,078.12 and 20,240.82 is: 27,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,786.64 : 41,078.12 = 20,240.82 : x
  2. Step 2: Convert to fraction form
    29,786.64/41,078.12 = 20,240.82/x
  3. Step 3: Cross multiply
    29,786.64x = 41,078.12 × 20,240.82
  4. Step 4: Simplify right side
    29,786.64x = 831,454,832.86
  5. Step 5: Solve for x
    x = 831,454,832.86/29,786.64
  6. Step 6: Final answer
    x = 27,913.68

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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.