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Finding the Fourth Proportional to 33,676.80, 50,526 and 13,957.44

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Solution

The fourth proportional to 33,676.80, 50,526 and 13,957.44 is: 20,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,676.80 : 50,526 = 13,957.44 : x
  2. Step 2: Convert to fraction form
    33,676.80/50,526 = 13,957.44/x
  3. Step 3: Cross multiply
    33,676.80x = 50,526 × 13,957.44
  4. Step 4: Simplify right side
    33,676.80x = 705,213,613.44
  5. Step 5: Solve for x
    x = 705,213,613.44/33,676.80
  6. Step 6: Final answer
    x = 20,940.64

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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.