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Finding the Fourth Proportional to 33,982.64, 50,974.14 and 10,607.12

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Solution

The fourth proportional to 33,982.64, 50,974.14 and 10,607.12 is: 15,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982.64 : 50,974.14 = 10,607.12 : x
  2. Step 2: Convert to fraction form
    33,982.64/50,974.14 = 10,607.12/x
  3. Step 3: Cross multiply
    33,982.64x = 50,974.14 × 10,607.12
  4. Step 4: Simplify right side
    33,982.64x = 540,688,819.88
  5. Step 5: Solve for x
    x = 540,688,819.88/33,982.64
  6. Step 6: Final answer
    x = 15,910.74

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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.