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Finding the Fourth Proportional to 49,456.30, 68,212.46 and 34,349

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Solution

The fourth proportional to 49,456.30, 68,212.46 and 34,349 is: 47,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456.30 : 68,212.46 = 34,349 : x
  2. Step 2: Convert to fraction form
    49,456.30/68,212.46 = 34,349/x
  3. Step 3: Cross multiply
    49,456.30x = 68,212.46 × 34,349
  4. Step 4: Simplify right side
    49,456.30x = 2,343,029,788.54
  5. Step 5: Solve for x
    x = 2,343,029,788.54/49,456.30
  6. Step 6: Final answer
    x = 47,375.76

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