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Finding the Fourth Proportional to 30,568.38, 42,144.87 and 19,794.09

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Solution

The fourth proportional to 30,568.38, 42,144.87 and 19,794.09 is: 27,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.38 : 42,144.87 = 19,794.09 : x
  2. Step 2: Convert to fraction form
    30,568.38/42,144.87 = 19,794.09/x
  3. Step 3: Cross multiply
    30,568.38x = 42,144.87 × 19,794.09
  4. Step 4: Simplify right side
    30,568.38x = 834,219,349.82
  5. Step 5: Solve for x
    x = 834,219,349.82/30,568.38
  6. Step 6: Final answer
    x = 27,290.27

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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.