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Finding the Fourth Proportional to 30,371.40, 45,524.70 and 11,644.20

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Solution

The fourth proportional to 30,371.40, 45,524.70 and 11,644.20 is: 17,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,371.40 : 45,524.70 = 11,644.20 : x
  2. Step 2: Convert to fraction form
    30,371.40/45,524.70 = 11,644.20/x
  3. Step 3: Cross multiply
    30,371.40x = 45,524.70 × 11,644.20
  4. Step 4: Simplify right side
    30,371.40x = 530,098,711.74
  5. Step 5: Solve for x
    x = 530,098,711.74/30,371.40
  6. Step 6: Final answer
    x = 17,453.88

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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.