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Finding the Fourth Proportional to 41,467, 62,210.22 and 13,765

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Solution

The fourth proportional to 41,467, 62,210.22 and 13,765 is: 20,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,467 : 62,210.22 = 13,765 : x
  2. Step 2: Convert to fraction form
    41,467/62,210.22 = 13,765/x
  3. Step 3: Cross multiply
    41,467x = 62,210.22 × 13,765
  4. Step 4: Simplify right side
    41,467x = 856,323,678.30
  5. Step 5: Solve for x
    x = 856,323,678.30/41,467
  6. Step 6: Final answer
    x = 20,650.73

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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.