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Finding the Fourth Proportional to 71,906.74, 99,231.63 and 41,709.94

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Solution

The fourth proportional to 71,906.74, 99,231.63 and 41,709.94 is: 57,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,906.74 : 99,231.63 = 41,709.94 : x
  2. Step 2: Convert to fraction form
    71,906.74/99,231.63 = 41,709.94/x
  3. Step 3: Cross multiply
    71,906.74x = 99,231.63 × 41,709.94
  4. Step 4: Simplify right side
    71,906.74x = 4,138,945,333.40
  5. Step 5: Solve for x
    x = 4,138,945,333.40/71,906.74
  6. Step 6: Final answer
    x = 57,559.91

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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.