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Finding the Fourth Proportional to 41,484, 62,226 and 13,782

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Solution

The fourth proportional to 41,484, 62,226 and 13,782 is: 20,673

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,484 : 62,226 = 13,782 : x
  2. Step 2: Convert to fraction form
    41,484/62,226 = 13,782/x
  3. Step 3: Cross multiply
    41,484x = 62,226 × 13,782
  4. Step 4: Simplify right side
    41,484x = 857,598,732
  5. Step 5: Solve for x
    x = 857,598,732/41,484
  6. Step 6: Final answer
    x = 20,673

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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.