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Finding the Fourth Proportional to 36,531.82, 50,414.72 and 20,178.99

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Solution

The fourth proportional to 36,531.82, 50,414.72 and 20,178.99 is: 27,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,531.82 : 50,414.72 = 20,178.99 : x
  2. Step 2: Convert to fraction form
    36,531.82/50,414.72 = 20,178.99/x
  3. Step 3: Cross multiply
    36,531.82x = 50,414.72 × 20,178.99
  4. Step 4: Simplify right side
    36,531.82x = 1,017,318,130.73
  5. Step 5: Solve for x
    x = 1,017,318,130.73/36,531.82
  6. Step 6: Final answer
    x = 27,847.45

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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.