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Finding the Fourth Proportional to 33,999.68, 50,989.60 and 13,218.24

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Solution

The fourth proportional to 33,999.68, 50,989.60 and 13,218.24 is: 19,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999.68 : 50,989.60 = 13,218.24 : x
  2. Step 2: Convert to fraction form
    33,999.68/50,989.60 = 13,218.24/x
  3. Step 3: Cross multiply
    33,999.68x = 50,989.60 × 13,218.24
  4. Step 4: Simplify right side
    33,999.68x = 673,992,770.30
  5. Step 5: Solve for x
    x = 673,992,770.30/33,999.68
  6. Step 6: Final answer
    x = 19,823.50

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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.