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Finding the Fourth Proportional to 33,067.80, 45,634.10 and 17,960.47

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Solution

The fourth proportional to 33,067.80, 45,634.10 and 17,960.47 is: 24,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,067.80 : 45,634.10 = 17,960.47 : x
  2. Step 2: Convert to fraction form
    33,067.80/45,634.10 = 17,960.47/x
  3. Step 3: Cross multiply
    33,067.80x = 45,634.10 × 17,960.47
  4. Step 4: Simplify right side
    33,067.80x = 819,609,655.86
  5. Step 5: Solve for x
    x = 819,609,655.86/33,067.80
  6. Step 6: Final answer
    x = 24,785.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.