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Finding the Fourth Proportional to 33,633.50, 50,449.70 and 11,462.31

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Solution

The fourth proportional to 33,633.50, 50,449.70 and 11,462.31 is: 17,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.50 : 50,449.70 = 11,462.31 : x
  2. Step 2: Convert to fraction form
    33,633.50/50,449.70 = 11,462.31/x
  3. Step 3: Cross multiply
    33,633.50x = 50,449.70 × 11,462.31
  4. Step 4: Simplify right side
    33,633.50x = 578,270,129.46
  5. Step 5: Solve for x
    x = 578,270,129.46/33,633.50
  6. Step 6: Final answer
    x = 17,193.28

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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.