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Finding the Fourth Proportional to 33,743.50, 50,616.06 and 10,371.76

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Solution

The fourth proportional to 33,743.50, 50,616.06 and 10,371.76 is: 15,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,743.50 : 50,616.06 = 10,371.76 : x
  2. Step 2: Convert to fraction form
    33,743.50/50,616.06 = 10,371.76/x
  3. Step 3: Cross multiply
    33,743.50x = 50,616.06 × 10,371.76
  4. Step 4: Simplify right side
    33,743.50x = 524,977,626.47
  5. Step 5: Solve for x
    x = 524,977,626.47/33,743.50
  6. Step 6: Final answer
    x = 15,557.89

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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.