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Finding the Fourth Proportional to 33,678, 50,519.03 and 10,304.64

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Solution

The fourth proportional to 33,678, 50,519.03 and 10,304.64 is: 15,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,678 : 50,519.03 = 10,304.64 : x
  2. Step 2: Convert to fraction form
    33,678/50,519.03 = 10,304.64/x
  3. Step 3: Cross multiply
    33,678x = 50,519.03 × 10,304.64
  4. Step 4: Simplify right side
    33,678x = 520,580,365.78
  5. Step 5: Solve for x
    x = 520,580,365.78/33,678
  6. Step 6: Final answer
    x = 15,457.58

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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.