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Finding the Fourth Proportional to 33,297.56, 49,903.26 and 13,553

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Solution

The fourth proportional to 33,297.56, 49,903.26 and 13,553 is: 20,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,297.56 : 49,903.26 = 13,553 : x
  2. Step 2: Convert to fraction form
    33,297.56/49,903.26 = 13,553/x
  3. Step 3: Cross multiply
    33,297.56x = 49,903.26 × 13,553
  4. Step 4: Simplify right side
    33,297.56x = 676,338,882.78
  5. Step 5: Solve for x
    x = 676,338,882.78/33,297.56
  6. Step 6: Final answer
    x = 20,311.97

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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.