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Finding the Fourth Proportional to 33,676.50, 50,514.76 and 14,952.14

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Solution

The fourth proportional to 33,676.50, 50,514.76 and 14,952.14 is: 22,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,676.50 : 50,514.76 = 14,952.14 : x
  2. Step 2: Convert to fraction form
    33,676.50/50,514.76 = 14,952.14/x
  3. Step 3: Cross multiply
    33,676.50x = 50,514.76 × 14,952.14
  4. Step 4: Simplify right side
    33,676.50x = 755,303,635.03
  5. Step 5: Solve for x
    x = 755,303,635.03/33,676.50
  6. Step 6: Final answer
    x = 22,428.21

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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.