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Finding the Fourth Proportional to 33,059.90, 49,593.10 and 10,864.28

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Solution

The fourth proportional to 33,059.90, 49,593.10 and 10,864.28 is: 16,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,059.90 : 49,593.10 = 10,864.28 : x
  2. Step 2: Convert to fraction form
    33,059.90/49,593.10 = 10,864.28/x
  3. Step 3: Cross multiply
    33,059.90x = 49,593.10 × 10,864.28
  4. Step 4: Simplify right side
    33,059.90x = 538,793,324.47
  5. Step 5: Solve for x
    x = 538,793,324.47/33,059.90
  6. Step 6: Final answer
    x = 16,297.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.