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Finding the Fourth Proportional to 30,200.67, 45,318.81 and 11,496.44

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Solution

The fourth proportional to 30,200.67, 45,318.81 and 11,496.44 is: 17,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.67 : 45,318.81 = 11,496.44 : x
  2. Step 2: Convert to fraction form
    30,200.67/45,318.81 = 11,496.44/x
  3. Step 3: Cross multiply
    30,200.67x = 45,318.81 × 11,496.44
  4. Step 4: Simplify right side
    30,200.67x = 521,004,753.44
  5. Step 5: Solve for x
    x = 521,004,753.44/30,200.67
  6. Step 6: Final answer
    x = 17,251.43

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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.