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Finding the Fourth Proportional to 33,725.64, 50,578.89 and 10,032.23

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Solution

The fourth proportional to 33,725.64, 50,578.89 and 10,032.23 is: 15,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,725.64 : 50,578.89 = 10,032.23 : x
  2. Step 2: Convert to fraction form
    33,725.64/50,578.89 = 10,032.23/x
  3. Step 3: Cross multiply
    33,725.64x = 50,578.89 × 10,032.23
  4. Step 4: Simplify right side
    33,725.64x = 507,419,057.62
  5. Step 5: Solve for x
    x = 507,419,057.62/33,725.64
  6. Step 6: Final answer
    x = 15,045.50

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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.