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Finding the Fourth Proportional to 30,879.25, 42,608.51 and 17,961.38

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Solution

The fourth proportional to 30,879.25, 42,608.51 and 17,961.38 is: 24,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879.25 : 42,608.51 = 17,961.38 : x
  2. Step 2: Convert to fraction form
    30,879.25/42,608.51 = 17,961.38/x
  3. Step 3: Cross multiply
    30,879.25x = 42,608.51 × 17,961.38
  4. Step 4: Simplify right side
    30,879.25x = 765,307,723.41
  5. Step 5: Solve for x
    x = 765,307,723.41/30,879.25
  6. Step 6: Final answer
    x = 24,783.88

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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.