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Finding the Fourth Proportional to 100,313.94, 150,478.17 and 33,753.78

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Solution

The fourth proportional to 100,313.94, 150,478.17 and 33,753.78 is: 50,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,313.94 : 150,478.17 = 33,753.78 : x
  2. Step 2: Convert to fraction form
    100,313.94/150,478.17 = 33,753.78/x
  3. Step 3: Cross multiply
    100,313.94x = 150,478.17 × 33,753.78
  4. Step 4: Simplify right side
    100,313.94x = 5,079,207,044.98
  5. Step 5: Solve for x
    x = 5,079,207,044.98/100,313.94
  6. Step 6: Final answer
    x = 50,633.11

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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.