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Finding the Fourth Proportional to 34,909.72, 52,377.78 and 16,198.72

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Solution

The fourth proportional to 34,909.72, 52,377.78 and 16,198.72 is: 24,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,909.72 : 52,377.78 = 16,198.72 : x
  2. Step 2: Convert to fraction form
    34,909.72/52,377.78 = 16,198.72/x
  3. Step 3: Cross multiply
    34,909.72x = 52,377.78 × 16,198.72
  4. Step 4: Simplify right side
    34,909.72x = 848,452,992.44
  5. Step 5: Solve for x
    x = 848,452,992.44/34,909.72
  6. Step 6: Final answer
    x = 24,304.21

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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.