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Finding the Fourth Proportional to 33,781.50, 50,678.97 and 10,406.94

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Solution

The fourth proportional to 33,781.50, 50,678.97 and 10,406.94 is: 15,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.50 : 50,678.97 = 10,406.94 : x
  2. Step 2: Convert to fraction form
    33,781.50/50,678.97 = 10,406.94/x
  3. Step 3: Cross multiply
    33,781.50x = 50,678.97 × 10,406.94
  4. Step 4: Simplify right side
    33,781.50x = 527,413,000.05
  5. Step 5: Solve for x
    x = 527,413,000.05/33,781.50
  6. Step 6: Final answer
    x = 15,612.48

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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.