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Finding the Fourth Proportional to 36,365.92, 54,546.96 and 11,740

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Solution

The fourth proportional to 36,365.92, 54,546.96 and 11,740 is: 17,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,365.92 : 54,546.96 = 11,740 : x
  2. Step 2: Convert to fraction form
    36,365.92/54,546.96 = 11,740/x
  3. Step 3: Cross multiply
    36,365.92x = 54,546.96 × 11,740
  4. Step 4: Simplify right side
    36,365.92x = 640,381,310.40
  5. Step 5: Solve for x
    x = 640,381,310.40/36,365.92
  6. Step 6: Final answer
    x = 17,609.38

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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.