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Finding the Fourth Proportional to 33,709, 50,563.32 and 8,749.03

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Solution

The fourth proportional to 33,709, 50,563.32 and 8,749.03 is: 13,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709 : 50,563.32 = 8,749.03 : x
  2. Step 2: Convert to fraction form
    33,709/50,563.32 = 8,749.03/x
  3. Step 3: Cross multiply
    33,709x = 50,563.32 × 8,749.03
  4. Step 4: Simplify right side
    33,709x = 442,380,003.58
  5. Step 5: Solve for x
    x = 442,380,003.58/33,709
  6. Step 6: Final answer
    x = 13,123.50

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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.