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Finding the Fourth Proportional to 33,524, 50,287.20 and 8,900

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Solution

The fourth proportional to 33,524, 50,287.20 and 8,900 is: 13,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524 : 50,287.20 = 8,900 : x
  2. Step 2: Convert to fraction form
    33,524/50,287.20 = 8,900/x
  3. Step 3: Cross multiply
    33,524x = 50,287.20 × 8,900
  4. Step 4: Simplify right side
    33,524x = 447,556,080
  5. Step 5: Solve for x
    x = 447,556,080/33,524
  6. Step 6: Final answer
    x = 13,350.32

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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.