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Finding the Fourth Proportional to 33,634.40, 50,449.77 and 10,259

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Solution

The fourth proportional to 33,634.40, 50,449.77 and 10,259 is: 15,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.40 : 50,449.77 = 10,259 : x
  2. Step 2: Convert to fraction form
    33,634.40/50,449.77 = 10,259/x
  3. Step 3: Cross multiply
    33,634.40x = 50,449.77 × 10,259
  4. Step 4: Simplify right side
    33,634.40x = 517,564,190.43
  5. Step 5: Solve for x
    x = 517,564,190.43/33,634.40
  6. Step 6: Final answer
    x = 15,387.94

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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.