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Finding the Fourth Proportional to 122,578.92, 183,863.39 and 33,830.15

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Solution

The fourth proportional to 122,578.92, 183,863.39 and 33,830.15 is: 50,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,578.92 : 183,863.39 = 33,830.15 : x
  2. Step 2: Convert to fraction form
    122,578.92/183,863.39 = 33,830.15/x
  3. Step 3: Cross multiply
    122,578.92x = 183,863.39 × 33,830.15
  4. Step 4: Simplify right side
    122,578.92x = 6,220,124,974.74
  5. Step 5: Solve for x
    x = 6,220,124,974.74/122,578.92
  6. Step 6: Final answer
    x = 50,743.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.