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Finding the Fourth Proportional to 36,757.94, 50,711.27 and 24,006.78

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Solution

The fourth proportional to 36,757.94, 50,711.27 and 24,006.78 is: 33,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,757.94 : 50,711.27 = 24,006.78 : x
  2. Step 2: Convert to fraction form
    36,757.94/50,711.27 = 24,006.78/x
  3. Step 3: Cross multiply
    36,757.94x = 50,711.27 × 24,006.78
  4. Step 4: Simplify right side
    36,757.94x = 1,217,414,182.38
  5. Step 5: Solve for x
    x = 1,217,414,182.38/36,757.94
  6. Step 6: Final answer
    x = 33,119.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.