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Finding the Fourth Proportional to 89,734.74, 123,834.77 and 49,449.94

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Solution

The fourth proportional to 89,734.74, 123,834.77 and 49,449.94 is: 68,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,734.74 : 123,834.77 = 49,449.94 : x
  2. Step 2: Convert to fraction form
    89,734.74/123,834.77 = 49,449.94/x
  3. Step 3: Cross multiply
    89,734.74x = 123,834.77 × 49,449.94
  4. Step 4: Simplify right side
    89,734.74x = 6,123,622,166.98
  5. Step 5: Solve for x
    x = 6,123,622,166.98/89,734.74
  6. Step 6: Final answer
    x = 68,241.38

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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.