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Finding the Fourth Proportional to 30,418.32, 41,959.77 and 18,310.38

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Solution

The fourth proportional to 30,418.32, 41,959.77 and 18,310.38 is: 25,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418.32 : 41,959.77 = 18,310.38 : x
  2. Step 2: Convert to fraction form
    30,418.32/41,959.77 = 18,310.38/x
  3. Step 3: Cross multiply
    30,418.32x = 41,959.77 × 18,310.38
  4. Step 4: Simplify right side
    30,418.32x = 768,299,333.41
  5. Step 5: Solve for x
    x = 768,299,333.41/30,418.32
  6. Step 6: Final answer
    x = 25,257.78

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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.