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Finding the Fourth Proportional to 31,460.62, 43,414.90 and 18,039.73

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Solution

The fourth proportional to 31,460.62, 43,414.90 and 18,039.73 is: 24,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.62 : 43,414.90 = 18,039.73 : x
  2. Step 2: Convert to fraction form
    31,460.62/43,414.90 = 18,039.73/x
  3. Step 3: Cross multiply
    31,460.62x = 43,414.90 × 18,039.73
  4. Step 4: Simplify right side
    31,460.62x = 783,193,073.98
  5. Step 5: Solve for x
    x = 783,193,073.98/31,460.62
  6. Step 6: Final answer
    x = 24,894.39

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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.