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Finding the Fourth Proportional to 30,331.98, 45,496.56 and 10,614.96

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Solution

The fourth proportional to 30,331.98, 45,496.56 and 10,614.96 is: 15,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331.98 : 45,496.56 = 10,614.96 : x
  2. Step 2: Convert to fraction form
    30,331.98/45,496.56 = 10,614.96/x
  3. Step 3: Cross multiply
    30,331.98x = 45,496.56 × 10,614.96
  4. Step 4: Simplify right side
    30,331.98x = 482,944,164.54
  5. Step 5: Solve for x
    x = 482,944,164.54/30,331.98
  6. Step 6: Final answer
    x = 15,921.95

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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.