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Finding the Fourth Proportional to 33,105, 49,657.96 and 18,342.75

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Solution

The fourth proportional to 33,105, 49,657.96 and 18,342.75 is: 27,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,105 : 49,657.96 = 18,342.75 : x
  2. Step 2: Convert to fraction form
    33,105/49,657.96 = 18,342.75/x
  3. Step 3: Cross multiply
    33,105x = 49,657.96 × 18,342.75
  4. Step 4: Simplify right side
    33,105x = 910,863,545.79
  5. Step 5: Solve for x
    x = 910,863,545.79/33,105
  6. Step 6: Final answer
    x = 27,514.38

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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.