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Finding the Fourth Proportional to 33,578.86, 50,335.44 and 12,503.44

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Solution

The fourth proportional to 33,578.86, 50,335.44 and 12,503.44 is: 18,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,578.86 : 50,335.44 = 12,503.44 : x
  2. Step 2: Convert to fraction form
    33,578.86/50,335.44 = 12,503.44/x
  3. Step 3: Cross multiply
    33,578.86x = 50,335.44 × 12,503.44
  4. Step 4: Simplify right side
    33,578.86x = 629,366,153.91
  5. Step 5: Solve for x
    x = 629,366,153.91/33,578.86
  6. Step 6: Final answer
    x = 18,742.93

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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.