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Finding the Fourth Proportional to 61,309.35, 84,609.41 and 34,451.78

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Solution

The fourth proportional to 61,309.35, 84,609.41 and 34,451.78 is: 47,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,309.35 : 84,609.41 = 34,451.78 : x
  2. Step 2: Convert to fraction form
    61,309.35/84,609.41 = 34,451.78/x
  3. Step 3: Cross multiply
    61,309.35x = 84,609.41 × 34,451.78
  4. Step 4: Simplify right side
    61,309.35x = 2,914,944,183.94
  5. Step 5: Solve for x
    x = 2,914,944,183.94/61,309.35
  6. Step 6: Final answer
    x = 47,544.86

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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.