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Finding the Fourth Proportional to 30,531.24, 45,797.49 and 20,067.98

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Solution

The fourth proportional to 30,531.24, 45,797.49 and 20,067.98 is: 30,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.24 : 45,797.49 = 20,067.98 : x
  2. Step 2: Convert to fraction form
    30,531.24/45,797.49 = 20,067.98/x
  3. Step 3: Cross multiply
    30,531.24x = 45,797.49 × 20,067.98
  4. Step 4: Simplify right side
    30,531.24x = 919,062,884.38
  5. Step 5: Solve for x
    x = 919,062,884.38/30,531.24
  6. Step 6: Final answer
    x = 30,102.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.