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Finding the Fourth Proportional to 36,340.82, 50,149.02 and 20,426.14

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Solution

The fourth proportional to 36,340.82, 50,149.02 and 20,426.14 is: 28,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,340.82 : 50,149.02 = 20,426.14 : x
  2. Step 2: Convert to fraction form
    36,340.82/50,149.02 = 20,426.14/x
  3. Step 3: Cross multiply
    36,340.82x = 50,149.02 × 20,426.14
  4. Step 4: Simplify right side
    36,340.82x = 1,024,350,903.38
  5. Step 5: Solve for x
    x = 1,024,350,903.38/36,340.82
  6. Step 6: Final answer
    x = 28,187.34

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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.