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Finding the Fourth Proportional to 89,794.46, 123,917.22 and 49,509.80

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Solution

The fourth proportional to 89,794.46, 123,917.22 and 49,509.80 is: 68,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,794.46 : 123,917.22 = 49,509.80 : x
  2. Step 2: Convert to fraction form
    89,794.46/123,917.22 = 49,509.80/x
  3. Step 3: Cross multiply
    89,794.46x = 123,917.22 × 49,509.80
  4. Step 4: Simplify right side
    89,794.46x = 6,135,116,778.76
  5. Step 5: Solve for x
    x = 6,135,116,778.76/89,794.46
  6. Step 6: Final answer
    x = 68,324.00

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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.