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Finding the Fourth Proportional to 43,682.12, 65,504.94 and 21,505.96

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Solution

The fourth proportional to 43,682.12, 65,504.94 and 21,505.96 is: 32,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,682.12 : 65,504.94 = 21,505.96 : x
  2. Step 2: Convert to fraction form
    43,682.12/65,504.94 = 21,505.96/x
  3. Step 3: Cross multiply
    43,682.12x = 65,504.94 × 21,505.96
  4. Step 4: Simplify right side
    43,682.12x = 1,408,746,619.44
  5. Step 5: Solve for x
    x = 1,408,746,619.44/43,682.12
  6. Step 6: Final answer
    x = 32,249.96

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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.