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Finding the Fourth Proportional to 30,198.26, 45,299.60 and 8,011.14

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Solution

The fourth proportional to 30,198.26, 45,299.60 and 8,011.14 is: 12,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.26 : 45,299.60 = 8,011.14 : x
  2. Step 2: Convert to fraction form
    30,198.26/45,299.60 = 8,011.14/x
  3. Step 3: Cross multiply
    30,198.26x = 45,299.60 × 8,011.14
  4. Step 4: Simplify right side
    30,198.26x = 362,901,437.54
  5. Step 5: Solve for x
    x = 362,901,437.54/30,198.26
  6. Step 6: Final answer
    x = 12,017.30

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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.