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Finding the Fourth Proportional to 29,965.99, 41,353.03 and 16,537.25

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Solution

The fourth proportional to 29,965.99, 41,353.03 and 16,537.25 is: 22,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965.99 : 41,353.03 = 16,537.25 : x
  2. Step 2: Convert to fraction form
    29,965.99/41,353.03 = 16,537.25/x
  3. Step 3: Cross multiply
    29,965.99x = 41,353.03 × 16,537.25
  4. Step 4: Simplify right side
    29,965.99x = 683,865,105.92
  5. Step 5: Solve for x
    x = 683,865,105.92/29,965.99
  6. Step 6: Final answer
    x = 22,821.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.