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Finding the Fourth Proportional to 30,680.48, 42,338.22 and 17,251.39

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Solution

The fourth proportional to 30,680.48, 42,338.22 and 17,251.39 is: 23,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680.48 : 42,338.22 = 17,251.39 : x
  2. Step 2: Convert to fraction form
    30,680.48/42,338.22 = 17,251.39/x
  3. Step 3: Cross multiply
    30,680.48x = 42,338.22 × 17,251.39
  4. Step 4: Simplify right side
    30,680.48x = 730,393,198.05
  5. Step 5: Solve for x
    x = 730,393,198.05/30,680.48
  6. Step 6: Final answer
    x = 23,806.44

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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.