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Finding the Fourth Proportional to 30,131.85, 45,198 and 12,371.13

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Solution

The fourth proportional to 30,131.85, 45,198 and 12,371.13 is: 18,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,131.85 : 45,198 = 12,371.13 : x
  2. Step 2: Convert to fraction form
    30,131.85/45,198 = 12,371.13/x
  3. Step 3: Cross multiply
    30,131.85x = 45,198 × 12,371.13
  4. Step 4: Simplify right side
    30,131.85x = 559,150,333.74
  5. Step 5: Solve for x
    x = 559,150,333.74/30,131.85
  6. Step 6: Final answer
    x = 18,556.79

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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.