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Finding the Fourth Proportional to 80,235.72, 120,364.78 and 33,477.88

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Solution

The fourth proportional to 80,235.72, 120,364.78 and 33,477.88 is: 50,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,235.72 : 120,364.78 = 33,477.88 : x
  2. Step 2: Convert to fraction form
    80,235.72/120,364.78 = 33,477.88/x
  3. Step 3: Cross multiply
    80,235.72x = 120,364.78 × 33,477.88
  4. Step 4: Simplify right side
    80,235.72x = 4,029,557,661.07
  5. Step 5: Solve for x
    x = 4,029,557,661.07/80,235.72
  6. Step 6: Final answer
    x = 50,221.49

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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.