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Finding the Fourth Proportional to 33,202.80, 49,731.30 and 28,828.80

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Solution

The fourth proportional to 33,202.80, 49,731.30 and 28,828.80 is: 43,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202.80 : 49,731.30 = 28,828.80 : x
  2. Step 2: Convert to fraction form
    33,202.80/49,731.30 = 28,828.80/x
  3. Step 3: Cross multiply
    33,202.80x = 49,731.30 × 28,828.80
  4. Step 4: Simplify right side
    33,202.80x = 1,433,693,701.44
  5. Step 5: Solve for x
    x = 1,433,693,701.44/33,202.80
  6. Step 6: Final answer
    x = 43,179.90

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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.