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Finding the Fourth Proportional to 33,672.86, 50,509.78 and 16,138.59

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Solution

The fourth proportional to 33,672.86, 50,509.78 and 16,138.59 is: 24,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,672.86 : 50,509.78 = 16,138.59 : x
  2. Step 2: Convert to fraction form
    33,672.86/50,509.78 = 16,138.59/x
  3. Step 3: Cross multiply
    33,672.86x = 50,509.78 × 16,138.59
  4. Step 4: Simplify right side
    33,672.86x = 815,156,684.77
  5. Step 5: Solve for x
    x = 815,156,684.77/33,672.86
  6. Step 6: Final answer
    x = 24,208.12

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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.