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Finding the Fourth Proportional to 33,801, 50,701.50 and 9,177

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Solution

The fourth proportional to 33,801, 50,701.50 and 9,177 is: 13,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,801 : 50,701.50 = 9,177 : x
  2. Step 2: Convert to fraction form
    33,801/50,701.50 = 9,177/x
  3. Step 3: Cross multiply
    33,801x = 50,701.50 × 9,177
  4. Step 4: Simplify right side
    33,801x = 465,287,665.50
  5. Step 5: Solve for x
    x = 465,287,665.50/33,801
  6. Step 6: Final answer
    x = 13,765.50

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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.