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Finding the Fourth Proportional to 33,570.70, 50,363.35 and 10,198.96

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Solution

The fourth proportional to 33,570.70, 50,363.35 and 10,198.96 is: 15,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,570.70 : 50,363.35 = 10,198.96 : x
  2. Step 2: Convert to fraction form
    33,570.70/50,363.35 = 10,198.96/x
  3. Step 3: Cross multiply
    33,570.70x = 50,363.35 × 10,198.96
  4. Step 4: Simplify right side
    33,570.70x = 513,653,640.71
  5. Step 5: Solve for x
    x = 513,653,640.71/33,570.70
  6. Step 6: Final answer
    x = 15,300.65

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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.