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Finding the Fourth Proportional to 49,571.72, 68,357.21 and 29,424.72

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Solution

The fourth proportional to 49,571.72, 68,357.21 and 29,424.72 is: 40,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,571.72 : 68,357.21 = 29,424.72 : x
  2. Step 2: Convert to fraction form
    49,571.72/68,357.21 = 29,424.72/x
  3. Step 3: Cross multiply
    49,571.72x = 68,357.21 × 29,424.72
  4. Step 4: Simplify right side
    49,571.72x = 2,011,391,764.23
  5. Step 5: Solve for x
    x = 2,011,391,764.23/49,571.72
  6. Step 6: Final answer
    x = 40,575.39

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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.