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Finding the Fourth Proportional to 29,654.28, 40,956.50 and 20,206.44

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Solution

The fourth proportional to 29,654.28, 40,956.50 and 20,206.44 is: 27,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654.28 : 40,956.50 = 20,206.44 : x
  2. Step 2: Convert to fraction form
    29,654.28/40,956.50 = 20,206.44/x
  3. Step 3: Cross multiply
    29,654.28x = 40,956.50 × 20,206.44
  4. Step 4: Simplify right side
    29,654.28x = 827,585,059.86
  5. Step 5: Solve for x
    x = 827,585,059.86/29,654.28
  6. Step 6: Final answer
    x = 27,907.78

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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.