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Finding the Fourth Proportional to 41,513, 62,270.04 and 13,811

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Solution

The fourth proportional to 41,513, 62,270.04 and 13,811 is: 20,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,513 : 62,270.04 = 13,811 : x
  2. Step 2: Convert to fraction form
    41,513/62,270.04 = 13,811/x
  3. Step 3: Cross multiply
    41,513x = 62,270.04 × 13,811
  4. Step 4: Simplify right side
    41,513x = 860,011,522.44
  5. Step 5: Solve for x
    x = 860,011,522.44/41,513
  6. Step 6: Final answer
    x = 20,716.68

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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.