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Finding the Fourth Proportional to 83,074, 124,611 and 24,706

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Solution

The fourth proportional to 83,074, 124,611 and 24,706 is: 37,059

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074 : 124,611 = 24,706 : x
  2. Step 2: Convert to fraction form
    83,074/124,611 = 24,706/x
  3. Step 3: Cross multiply
    83,074x = 124,611 × 24,706
  4. Step 4: Simplify right side
    83,074x = 3,078,639,366
  5. Step 5: Solve for x
    x = 3,078,639,366/83,074
  6. Step 6: Final answer
    x = 37,059

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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.