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Finding the Fourth Proportional to 41,326, 61,991.16 and 13,624

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Solution

The fourth proportional to 41,326, 61,991.16 and 13,624 is: 20,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,326 : 61,991.16 = 13,624 : x
  2. Step 2: Convert to fraction form
    41,326/61,991.16 = 13,624/x
  3. Step 3: Cross multiply
    41,326x = 61,991.16 × 13,624
  4. Step 4: Simplify right side
    41,326x = 844,567,563.84
  5. Step 5: Solve for x
    x = 844,567,563.84/41,326
  6. Step 6: Final answer
    x = 20,436.71

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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.