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Finding the Fourth Proportional to 33,241.84, 49,772.76 and 20,731.84

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Solution

The fourth proportional to 33,241.84, 49,772.76 and 20,731.84 is: 31,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,241.84 : 49,772.76 = 20,731.84 : x
  2. Step 2: Convert to fraction form
    33,241.84/49,772.76 = 20,731.84/x
  3. Step 3: Cross multiply
    33,241.84x = 49,772.76 × 20,731.84
  4. Step 4: Simplify right side
    33,241.84x = 1,031,880,896.68
  5. Step 5: Solve for x
    x = 1,031,880,896.68/33,241.84
  6. Step 6: Final answer
    x = 31,041.63

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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.