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Finding the Fourth Proportional to 34,589, 51,874.05 and 12,398.24

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Solution

The fourth proportional to 34,589, 51,874.05 and 12,398.24 is: 18,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,589 : 51,874.05 = 12,398.24 : x
  2. Step 2: Convert to fraction form
    34,589/51,874.05 = 12,398.24/x
  3. Step 3: Cross multiply
    34,589x = 51,874.05 × 12,398.24
  4. Step 4: Simplify right side
    34,589x = 643,146,921.67
  5. Step 5: Solve for x
    x = 643,146,921.67/34,589
  6. Step 6: Final answer
    x = 18,593.97

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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.