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Finding the Fourth Proportional to 53,692.32, 80,447.52 and 32,872.32

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Solution

The fourth proportional to 53,692.32, 80,447.52 and 32,872.32 is: 49,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,692.32 : 80,447.52 = 32,872.32 : x
  2. Step 2: Convert to fraction form
    53,692.32/80,447.52 = 32,872.32/x
  3. Step 3: Cross multiply
    53,692.32x = 80,447.52 × 32,872.32
  4. Step 4: Simplify right side
    53,692.32x = 2,644,496,620.65
  5. Step 5: Solve for x
    x = 2,644,496,620.65/53,692.32
  6. Step 6: Final answer
    x = 49,252.79

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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.