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Finding the Fourth Proportional to 83,175.80, 124,763.70 and 33,231.20

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Solution

The fourth proportional to 83,175.80, 124,763.70 and 33,231.20 is: 49,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.80 : 124,763.70 = 33,231.20 : x
  2. Step 2: Convert to fraction form
    83,175.80/124,763.70 = 33,231.20/x
  3. Step 3: Cross multiply
    83,175.80x = 124,763.70 × 33,231.20
  4. Step 4: Simplify right side
    83,175.80x = 4,146,047,467.44
  5. Step 5: Solve for x
    x = 4,146,047,467.44/83,175.80
  6. Step 6: Final answer
    x = 49,846.80

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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.