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Finding the Fourth Proportional to 36,524.82, 54,793.50 and 11,564.46

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Solution

The fourth proportional to 36,524.82, 54,793.50 and 11,564.46 is: 17,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,524.82 : 54,793.50 = 11,564.46 : x
  2. Step 2: Convert to fraction form
    36,524.82/54,793.50 = 11,564.46/x
  3. Step 3: Cross multiply
    36,524.82x = 54,793.50 × 11,564.46
  4. Step 4: Simplify right side
    36,524.82x = 633,657,239.01
  5. Step 5: Solve for x
    x = 633,657,239.01/36,524.82
  6. Step 6: Final answer
    x = 17,348.68

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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.