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Finding the Fourth Proportional to 29,965.50, 41,350.50 and 16,536.90

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Solution

The fourth proportional to 29,965.50, 41,350.50 and 16,536.90 is: 22,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965.50 : 41,350.50 = 16,536.90 : x
  2. Step 2: Convert to fraction form
    29,965.50/41,350.50 = 16,536.90/x
  3. Step 3: Cross multiply
    29,965.50x = 41,350.50 × 16,536.90
  4. Step 4: Simplify right side
    29,965.50x = 683,809,083.45
  5. Step 5: Solve for x
    x = 683,809,083.45/29,965.50
  6. Step 6: Final answer
    x = 22,819.88

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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.