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Finding the Fourth Proportional to 83,175.87, 124,813.22 and 30,622.26

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Solution

The fourth proportional to 83,175.87, 124,813.22 and 30,622.26 is: 45,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.87 : 124,813.22 = 30,622.26 : x
  2. Step 2: Convert to fraction form
    83,175.87/124,813.22 = 30,622.26/x
  3. Step 3: Cross multiply
    83,175.87x = 124,813.22 × 30,622.26
  4. Step 4: Simplify right side
    83,175.87x = 3,822,062,721.17
  5. Step 5: Solve for x
    x = 3,822,062,721.17/83,175.87
  6. Step 6: Final answer
    x = 45,951.58

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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.