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Finding the Fourth Proportional to 33,772.26, 50,668.17 and 10,402.14

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Solution

The fourth proportional to 33,772.26, 50,668.17 and 10,402.14 is: 15,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,772.26 : 50,668.17 = 10,402.14 : x
  2. Step 2: Convert to fraction form
    33,772.26/50,668.17 = 10,402.14/x
  3. Step 3: Cross multiply
    33,772.26x = 50,668.17 × 10,402.14
  4. Step 4: Simplify right side
    33,772.26x = 527,057,397.88
  5. Step 5: Solve for x
    x = 527,057,397.88/33,772.26
  6. Step 6: Final answer
    x = 15,606.22

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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.