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Finding the Fourth Proportional to 30,131.81, 45,198.19 and 11,406.82

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Solution

The fourth proportional to 30,131.81, 45,198.19 and 11,406.82 is: 17,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,131.81 : 45,198.19 = 11,406.82 : x
  2. Step 2: Convert to fraction form
    30,131.81/45,198.19 = 11,406.82/x
  3. Step 3: Cross multiply
    30,131.81x = 45,198.19 × 11,406.82
  4. Step 4: Simplify right side
    30,131.81x = 515,567,560.62
  5. Step 5: Solve for x
    x = 515,567,560.62/30,131.81
  6. Step 6: Final answer
    x = 17,110.41

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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.