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Finding the Fourth Proportional to 33,564, 50,351.76 and 10,192.80

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Solution

The fourth proportional to 33,564, 50,351.76 and 10,192.80 is: 15,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564 : 50,351.76 = 10,192.80 : x
  2. Step 2: Convert to fraction form
    33,564/50,351.76 = 10,192.80/x
  3. Step 3: Cross multiply
    33,564x = 50,351.76 × 10,192.80
  4. Step 4: Simplify right side
    33,564x = 513,225,419.33
  5. Step 5: Solve for x
    x = 513,225,419.33/33,564
  6. Step 6: Final answer
    x = 15,290.95

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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.