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Finding the Fourth Proportional to 75,879.65, 113,819.40 and 22,571.42

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Solution

The fourth proportional to 75,879.65, 113,819.40 and 22,571.42 is: 33,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,879.65 : 113,819.40 = 22,571.42 : x
  2. Step 2: Convert to fraction form
    75,879.65/113,819.40 = 22,571.42/x
  3. Step 3: Cross multiply
    75,879.65x = 113,819.40 × 22,571.42
  4. Step 4: Simplify right side
    75,879.65x = 2,569,064,912.45
  5. Step 5: Solve for x
    x = 2,569,064,912.45/75,879.65
  6. Step 6: Final answer
    x = 33,857.10

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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.