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Finding the Fourth Proportional to 122,506.31, 183,765.74 and 33,757.85

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Solution

The fourth proportional to 122,506.31, 183,765.74 and 33,757.85 is: 50,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,506.31 : 183,765.74 = 33,757.85 : x
  2. Step 2: Convert to fraction form
    122,506.31/183,765.74 = 33,757.85/x
  3. Step 3: Cross multiply
    122,506.31x = 183,765.74 × 33,757.85
  4. Step 4: Simplify right side
    122,506.31x = 6,203,535,198.44
  5. Step 5: Solve for x
    x = 6,203,535,198.44/122,506.31
  6. Step 6: Final answer
    x = 50,638.50

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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.