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Finding the Fourth Proportional to 38,874.80, 58,241.80 and 17,832.44

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Solution

The fourth proportional to 38,874.80, 58,241.80 and 17,832.44 is: 26,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874.80 : 58,241.80 = 17,832.44 : x
  2. Step 2: Convert to fraction form
    38,874.80/58,241.80 = 17,832.44/x
  3. Step 3: Cross multiply
    38,874.80x = 58,241.80 × 17,832.44
  4. Step 4: Simplify right side
    38,874.80x = 1,038,593,414.75
  5. Step 5: Solve for x
    x = 1,038,593,414.75/38,874.80
  6. Step 6: Final answer
    x = 26,716.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.