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Finding the Fourth Proportional to 83,175.62, 124,812.84 and 30,622.02

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Solution

The fourth proportional to 83,175.62, 124,812.84 and 30,622.02 is: 45,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.62 : 124,812.84 = 30,622.02 : x
  2. Step 2: Convert to fraction form
    83,175.62/124,812.84 = 30,622.02/x
  3. Step 3: Cross multiply
    83,175.62x = 124,812.84 × 30,622.02
  4. Step 4: Simplify right side
    83,175.62x = 3,822,021,282.74
  5. Step 5: Solve for x
    x = 3,822,021,282.74/83,175.62
  6. Step 6: Final answer
    x = 45,951.22

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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.