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Finding the Fourth Proportional to 32,912.40, 49,375.80 and 10,726.80

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Solution

The fourth proportional to 32,912.40, 49,375.80 and 10,726.80 is: 16,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,912.40 : 49,375.80 = 10,726.80 : x
  2. Step 2: Convert to fraction form
    32,912.40/49,375.80 = 10,726.80/x
  3. Step 3: Cross multiply
    32,912.40x = 49,375.80 × 10,726.80
  4. Step 4: Simplify right side
    32,912.40x = 529,644,331.44
  5. Step 5: Solve for x
    x = 529,644,331.44/32,912.40
  6. Step 6: Final answer
    x = 16,092.55

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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.