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Finding the Fourth Proportional to 33,097.68, 49,664.34 and 25,716.96

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Solution

The fourth proportional to 33,097.68, 49,664.34 and 25,716.96 is: 38,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.68 : 49,664.34 = 25,716.96 : x
  2. Step 2: Convert to fraction form
    33,097.68/49,664.34 = 25,716.96/x
  3. Step 3: Cross multiply
    33,097.68x = 49,664.34 × 25,716.96
  4. Step 4: Simplify right side
    33,097.68x = 1,277,215,845.21
  5. Step 5: Solve for x
    x = 1,277,215,845.21/33,097.68
  6. Step 6: Final answer
    x = 38,589.29

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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.