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Finding the Fourth Proportional to 29,983.38, 41,380.70 and 17,408.13

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Solution

The fourth proportional to 29,983.38, 41,380.70 and 17,408.13 is: 24,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,983.38 : 41,380.70 = 17,408.13 : x
  2. Step 2: Convert to fraction form
    29,983.38/41,380.70 = 17,408.13/x
  3. Step 3: Cross multiply
    29,983.38x = 41,380.70 × 17,408.13
  4. Step 4: Simplify right side
    29,983.38x = 720,360,605.09
  5. Step 5: Solve for x
    x = 720,360,605.09/29,983.38
  6. Step 6: Final answer
    x = 24,025.33

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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.