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Finding the Fourth Proportional to 33,882.40, 50,815.76 and 12,824.88

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Solution

The fourth proportional to 33,882.40, 50,815.76 and 12,824.88 is: 19,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,882.40 : 50,815.76 = 12,824.88 : x
  2. Step 2: Convert to fraction form
    33,882.40/50,815.76 = 12,824.88/x
  3. Step 3: Cross multiply
    33,882.40x = 50,815.76 × 12,824.88
  4. Step 4: Simplify right side
    33,882.40x = 651,706,024.11
  5. Step 5: Solve for x
    x = 651,706,024.11/33,882.40
  6. Step 6: Final answer
    x = 19,234.35

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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.