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Finding the Fourth Proportional to 29,997.50, 44,996.49 and 10,276.23

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Solution

The fourth proportional to 29,997.50, 44,996.49 and 10,276.23 is: 15,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,997.50 : 44,996.49 = 10,276.23 : x
  2. Step 2: Convert to fraction form
    29,997.50/44,996.49 = 10,276.23/x
  3. Step 3: Cross multiply
    29,997.50x = 44,996.49 × 10,276.23
  4. Step 4: Simplify right side
    29,997.50x = 462,394,280.43
  5. Step 5: Solve for x
    x = 462,394,280.43/29,997.50
  6. Step 6: Final answer
    x = 15,414.43

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1.5x scale

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.