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Finding the Fourth Proportional to 36,817, 50,808 and 20,050

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Solution

The fourth proportional to 36,817, 50,808 and 20,050 is: 27,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,817 : 50,808 = 20,050 : x
  2. Step 2: Convert to fraction form
    36,817/50,808 = 20,050/x
  3. Step 3: Cross multiply
    36,817x = 50,808 × 20,050
  4. Step 4: Simplify right side
    36,817x = 1,018,700,400
  5. Step 5: Solve for x
    x = 1,018,700,400/36,817
  6. Step 6: Final answer
    x = 27,669.29

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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.