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Finding the Fourth Proportional to 36,829.72, 50,825.10 and 20,063.80

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Solution

The fourth proportional to 36,829.72, 50,825.10 and 20,063.80 is: 27,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,829.72 : 50,825.10 = 20,063.80 : x
  2. Step 2: Convert to fraction form
    36,829.72/50,825.10 = 20,063.80/x
  3. Step 3: Cross multiply
    36,829.72x = 50,825.10 × 20,063.80
  4. Step 4: Simplify right side
    36,829.72x = 1,019,744,641.38
  5. Step 5: Solve for x
    x = 1,019,744,641.38/36,829.72
  6. Step 6: Final answer
    x = 27,688.09

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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.