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Finding the Fourth Proportional to 29,523.96, 40,738.14 and 16,949.52

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Solution

The fourth proportional to 29,523.96, 40,738.14 and 16,949.52 is: 23,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,523.96 : 40,738.14 = 16,949.52 : x
  2. Step 2: Convert to fraction form
    29,523.96/40,738.14 = 16,949.52/x
  3. Step 3: Cross multiply
    29,523.96x = 40,738.14 × 16,949.52
  4. Step 4: Simplify right side
    29,523.96x = 690,491,918.69
  5. Step 5: Solve for x
    x = 690,491,918.69/29,523.96
  6. Step 6: Final answer
    x = 23,387.51

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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.