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Finding the Fourth Proportional to 33,835.20, 50,752.80 and 32,020.80

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Solution

The fourth proportional to 33,835.20, 50,752.80 and 32,020.80 is: 48,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,835.20 : 50,752.80 = 32,020.80 : x
  2. Step 2: Convert to fraction form
    33,835.20/50,752.80 = 32,020.80/x
  3. Step 3: Cross multiply
    33,835.20x = 50,752.80 × 32,020.80
  4. Step 4: Simplify right side
    33,835.20x = 1,625,145,258.24
  5. Step 5: Solve for x
    x = 1,625,145,258.24/33,835.20
  6. Step 6: Final answer
    x = 48,031.20

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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.