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Finding the Fourth Proportional to 33,204, 45,822 and 18,300

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Solution

The fourth proportional to 33,204, 45,822 and 18,300 is: 25,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204 : 45,822 = 18,300 : x
  2. Step 2: Convert to fraction form
    33,204/45,822 = 18,300/x
  3. Step 3: Cross multiply
    33,204x = 45,822 × 18,300
  4. Step 4: Simplify right side
    33,204x = 838,542,600
  5. Step 5: Solve for x
    x = 838,542,600/33,204
  6. Step 6: Final answer
    x = 25,254.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.