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Finding the Fourth Proportional to 33,814.20, 50,726.10 and 10,438.20

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Solution

The fourth proportional to 33,814.20, 50,726.10 and 10,438.20 is: 15,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.20 : 50,726.10 = 10,438.20 : x
  2. Step 2: Convert to fraction form
    33,814.20/50,726.10 = 10,438.20/x
  3. Step 3: Cross multiply
    33,814.20x = 50,726.10 × 10,438.20
  4. Step 4: Simplify right side
    33,814.20x = 529,489,177.02
  5. Step 5: Solve for x
    x = 529,489,177.02/33,814.20
  6. Step 6: Final answer
    x = 15,658.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.