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Finding the Fourth Proportional to 30,496.46, 42,084.09 and 17,067.38

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Solution

The fourth proportional to 30,496.46, 42,084.09 and 17,067.38 is: 23,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.46 : 42,084.09 = 17,067.38 : x
  2. Step 2: Convert to fraction form
    30,496.46/42,084.09 = 17,067.38/x
  3. Step 3: Cross multiply
    30,496.46x = 42,084.09 × 17,067.38
  4. Step 4: Simplify right side
    30,496.46x = 718,264,945.56
  5. Step 5: Solve for x
    x = 718,264,945.56/30,496.46
  6. Step 6: Final answer
    x = 23,552.41

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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.