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Finding the Fourth Proportional to 57,882.33, 86,851.44 and 50,400.09

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Solution

The fourth proportional to 57,882.33, 86,851.44 and 50,400.09 is: 75,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,882.33 : 86,851.44 = 50,400.09 : x
  2. Step 2: Convert to fraction form
    57,882.33/86,851.44 = 50,400.09/x
  3. Step 3: Cross multiply
    57,882.33x = 86,851.44 × 50,400.09
  4. Step 4: Simplify right side
    57,882.33x = 4,377,320,392.63
  5. Step 5: Solve for x
    x = 4,377,320,392.63/57,882.33
  6. Step 6: Final answer
    x = 75,624.47

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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.