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Finding the Fourth Proportional to 33,475.20, 50,212.80 and 28,291.20

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Solution

The fourth proportional to 33,475.20, 50,212.80 and 28,291.20 is: 42,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,475.20 : 50,212.80 = 28,291.20 : x
  2. Step 2: Convert to fraction form
    33,475.20/50,212.80 = 28,291.20/x
  3. Step 3: Cross multiply
    33,475.20x = 50,212.80 × 28,291.20
  4. Step 4: Simplify right side
    33,475.20x = 1,420,580,367.36
  5. Step 5: Solve for x
    x = 1,420,580,367.36/33,475.20
  6. Step 6: Final answer
    x = 42,436.80

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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.