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Finding the Fourth Proportional to 33,602.36, 50,410.83 and 10,228.19

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Solution

The fourth proportional to 33,602.36, 50,410.83 and 10,228.19 is: 15,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,602.36 : 50,410.83 = 10,228.19 : x
  2. Step 2: Convert to fraction form
    33,602.36/50,410.83 = 10,228.19/x
  3. Step 3: Cross multiply
    33,602.36x = 50,410.83 × 10,228.19
  4. Step 4: Simplify right side
    33,602.36x = 515,611,395.70
  5. Step 5: Solve for x
    x = 515,611,395.70/33,602.36
  6. Step 6: Final answer
    x = 15,344.50

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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.