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Finding the Fourth Proportional to 33,423.72, 50,141.90 and 13,434.76

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Solution

The fourth proportional to 33,423.72, 50,141.90 and 13,434.76 is: 20,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,423.72 : 50,141.90 = 13,434.76 : x
  2. Step 2: Convert to fraction form
    33,423.72/50,141.90 = 13,434.76/x
  3. Step 3: Cross multiply
    33,423.72x = 50,141.90 × 13,434.76
  4. Step 4: Simplify right side
    33,423.72x = 673,644,392.44
  5. Step 5: Solve for x
    x = 673,644,392.44/33,423.72
  6. Step 6: Final answer
    x = 20,154.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.