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Finding the Fourth Proportional to 89,794, 123,920.94 and 49,516.33

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Solution

The fourth proportional to 89,794, 123,920.94 and 49,516.33 is: 68,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,794 : 123,920.94 = 49,516.33 : x
  2. Step 2: Convert to fraction form
    89,794/123,920.94 = 49,516.33/x
  3. Step 3: Cross multiply
    89,794x = 123,920.94 × 49,516.33
  4. Step 4: Simplify right side
    89,794x = 6,136,110,158.95
  5. Step 5: Solve for x
    x = 6,136,110,158.95/89,794
  6. Step 6: Final answer
    x = 68,335.41

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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.