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Finding the Fourth Proportional to 33,548.80, 50,420.40 and 32,965.60

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Solution

The fourth proportional to 33,548.80, 50,420.40 and 32,965.60 is: 49,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,548.80 : 50,420.40 = 32,965.60 : x
  2. Step 2: Convert to fraction form
    33,548.80/50,420.40 = 32,965.60/x
  3. Step 3: Cross multiply
    33,548.80x = 50,420.40 × 32,965.60
  4. Step 4: Simplify right side
    33,548.80x = 1,662,138,738.24
  5. Step 5: Solve for x
    x = 1,662,138,738.24/33,548.80
  6. Step 6: Final answer
    x = 49,543.91

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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.