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Finding the Fourth Proportional to 27,178.98, 40,807.41 and 20,180.58

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Solution

The fourth proportional to 27,178.98, 40,807.41 and 20,180.58 is: 30,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.98 : 40,807.41 = 20,180.58 : x
  2. Step 2: Convert to fraction form
    27,178.98/40,807.41 = 20,180.58/x
  3. Step 3: Cross multiply
    27,178.98x = 40,807.41 × 20,180.58
  4. Step 4: Simplify right side
    27,178.98x = 823,517,202.10
  5. Step 5: Solve for x
    x = 823,517,202.10/27,178.98
  6. Step 6: Final answer
    x = 30,299.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.