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Finding the Fourth Proportional to 33,773, 50,659.50 and 9,149

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Solution

The fourth proportional to 33,773, 50,659.50 and 9,149 is: 13,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,773 : 50,659.50 = 9,149 : x
  2. Step 2: Convert to fraction form
    33,773/50,659.50 = 9,149/x
  3. Step 3: Cross multiply
    33,773x = 50,659.50 × 9,149
  4. Step 4: Simplify right side
    33,773x = 463,483,765.50
  5. Step 5: Solve for x
    x = 463,483,765.50/33,773
  6. Step 6: Final answer
    x = 13,723.50

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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.