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Finding the Fourth Proportional to 33,506.20, 50,129.70 and 21,842.20

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Solution

The fourth proportional to 33,506.20, 50,129.70 and 21,842.20 is: 32,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,506.20 : 50,129.70 = 21,842.20 : x
  2. Step 2: Convert to fraction form
    33,506.20/50,129.70 = 21,842.20/x
  3. Step 3: Cross multiply
    33,506.20x = 50,129.70 × 21,842.20
  4. Step 4: Simplify right side
    33,506.20x = 1,094,942,933.34
  5. Step 5: Solve for x
    x = 1,094,942,933.34/33,506.20
  6. Step 6: Final answer
    x = 32,678.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.