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Finding the Fourth Proportional to 32,080.05, 44,198.01 and 22,380.21

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Solution

The fourth proportional to 32,080.05, 44,198.01 and 22,380.21 is: 30,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.05 : 44,198.01 = 22,380.21 : x
  2. Step 2: Convert to fraction form
    32,080.05/44,198.01 = 22,380.21/x
  3. Step 3: Cross multiply
    32,080.05x = 44,198.01 × 22,380.21
  4. Step 4: Simplify right side
    32,080.05x = 989,160,745.38
  5. Step 5: Solve for x
    x = 989,160,745.38/32,080.05
  6. Step 6: Final answer
    x = 30,834.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.