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Finding the Fourth Proportional to 33,019.78, 49,472.16 and 27,508.54

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Solution

The fourth proportional to 33,019.78, 49,472.16 and 27,508.54 is: 41,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,019.78 : 49,472.16 = 27,508.54 : x
  2. Step 2: Convert to fraction form
    33,019.78/49,472.16 = 27,508.54/x
  3. Step 3: Cross multiply
    33,019.78x = 49,472.16 × 27,508.54
  4. Step 4: Simplify right side
    33,019.78x = 1,360,906,892.25
  5. Step 5: Solve for x
    x = 1,360,906,892.25/33,019.78
  6. Step 6: Final answer
    x = 41,214.90

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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.