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Finding the Fourth Proportional to 33,602.99, 50,414.20 and 10,228.82

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Solution

The fourth proportional to 33,602.99, 50,414.20 and 10,228.82 is: 15,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,602.99 : 50,414.20 = 10,228.82 : x
  2. Step 2: Convert to fraction form
    33,602.99/50,414.20 = 10,228.82/x
  3. Step 3: Cross multiply
    33,602.99x = 50,414.20 × 10,228.82
  4. Step 4: Simplify right side
    33,602.99x = 515,677,499.60
  5. Step 5: Solve for x
    x = 515,677,499.60/33,602.99
  6. Step 6: Final answer
    x = 15,346.18

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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.