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Finding the Fourth Proportional to 41,121, 61,692.84 and 13,419

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Solution

The fourth proportional to 41,121, 61,692.84 and 13,419 is: 20,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,121 : 61,692.84 = 13,419 : x
  2. Step 2: Convert to fraction form
    41,121/61,692.84 = 13,419/x
  3. Step 3: Cross multiply
    41,121x = 61,692.84 × 13,419
  4. Step 4: Simplify right side
    41,121x = 827,856,219.96
  5. Step 5: Solve for x
    x = 827,856,219.96/41,121
  6. Step 6: Final answer
    x = 20,132.20

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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.