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Finding the Fourth Proportional to 33,666.38, 50,514.16 and 18,065.78

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Solution

The fourth proportional to 33,666.38, 50,514.16 and 18,065.78 is: 27,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,666.38 : 50,514.16 = 18,065.78 : x
  2. Step 2: Convert to fraction form
    33,666.38/50,514.16 = 18,065.78/x
  3. Step 3: Cross multiply
    33,666.38x = 50,514.16 × 18,065.78
  4. Step 4: Simplify right side
    33,666.38x = 912,577,701.44
  5. Step 5: Solve for x
    x = 912,577,701.44/33,666.38
  6. Step 6: Final answer
    x = 27,106.50

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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.