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Finding the Fourth Proportional to 43,414.38, 65,120.87 and 13,832.01

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Solution

The fourth proportional to 43,414.38, 65,120.87 and 13,832.01 is: 20,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,414.38 : 65,120.87 = 13,832.01 : x
  2. Step 2: Convert to fraction form
    43,414.38/65,120.87 = 13,832.01/x
  3. Step 3: Cross multiply
    43,414.38x = 65,120.87 × 13,832.01
  4. Step 4: Simplify right side
    43,414.38x = 900,752,559.63
  5. Step 5: Solve for x
    x = 900,752,559.63/43,414.38
  6. Step 6: Final answer
    x = 20,747.79

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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.