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Finding the Fourth Proportional to 31,847.28, 43,969.14 and 20,522.40

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Solution

The fourth proportional to 31,847.28, 43,969.14 and 20,522.40 is: 28,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.28 : 43,969.14 = 20,522.40 : x
  2. Step 2: Convert to fraction form
    31,847.28/43,969.14 = 20,522.40/x
  3. Step 3: Cross multiply
    31,847.28x = 43,969.14 × 20,522.40
  4. Step 4: Simplify right side
    31,847.28x = 902,352,278.74
  5. Step 5: Solve for x
    x = 902,352,278.74/31,847.28
  6. Step 6: Final answer
    x = 28,333.73

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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.