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Finding the Fourth Proportional to 33,138.77, 49,614.87 and 24,857.33

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Solution

The fourth proportional to 33,138.77, 49,614.87 and 24,857.33 is: 37,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.77 : 49,614.87 = 24,857.33 : x
  2. Step 2: Convert to fraction form
    33,138.77/49,614.87 = 24,857.33/x
  3. Step 3: Cross multiply
    33,138.77x = 49,614.87 × 24,857.33
  4. Step 4: Simplify right side
    33,138.77x = 1,233,293,196.50
  5. Step 5: Solve for x
    x = 1,233,293,196.50/33,138.77
  6. Step 6: Final answer
    x = 37,216.02

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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.