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Finding the Fourth Proportional to 33,182.80, 49,701.30 and 28,808.80

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Solution

The fourth proportional to 33,182.80, 49,701.30 and 28,808.80 is: 43,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.80 : 49,701.30 = 28,808.80 : x
  2. Step 2: Convert to fraction form
    33,182.80/49,701.30 = 28,808.80/x
  3. Step 3: Cross multiply
    33,182.80x = 49,701.30 × 28,808.80
  4. Step 4: Simplify right side
    33,182.80x = 1,431,834,811.44
  5. Step 5: Solve for x
    x = 1,431,834,811.44/33,182.80
  6. Step 6: Final answer
    x = 43,149.91

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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.