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Finding the Fourth Proportional to 122,579.92, 183,869.88 and 33,830.48

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Solution

The fourth proportional to 122,579.92, 183,869.88 and 33,830.48 is: 50,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,579.92 : 183,869.88 = 33,830.48 : x
  2. Step 2: Convert to fraction form
    122,579.92/183,869.88 = 33,830.48/x
  3. Step 3: Cross multiply
    122,579.92x = 183,869.88 × 33,830.48
  4. Step 4: Simplify right side
    122,579.92x = 6,220,406,297.94
  5. Step 5: Solve for x
    x = 6,220,406,297.94/122,579.92
  6. Step 6: Final answer
    x = 50,745.72

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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.