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Finding the Fourth Proportional to 50,793.94, 75,882.02 and 32,878.66

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Solution

The fourth proportional to 50,793.94, 75,882.02 and 32,878.66 is: 49,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,793.94 : 75,882.02 = 32,878.66 : x
  2. Step 2: Convert to fraction form
    50,793.94/75,882.02 = 32,878.66/x
  3. Step 3: Cross multiply
    50,793.94x = 75,882.02 × 32,878.66
  4. Step 4: Simplify right side
    50,793.94x = 2,494,899,135.69
  5. Step 5: Solve for x
    x = 2,494,899,135.69/50,793.94
  6. Step 6: Final answer
    x = 49,118.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.