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Finding the Fourth Proportional to 36,523.40, 54,786.47 and 10,227.46

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Solution

The fourth proportional to 36,523.40, 54,786.47 and 10,227.46 is: 15,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,523.40 : 54,786.47 = 10,227.46 : x
  2. Step 2: Convert to fraction form
    36,523.40/54,786.47 = 10,227.46/x
  3. Step 3: Cross multiply
    36,523.40x = 54,786.47 × 10,227.46
  4. Step 4: Simplify right side
    36,523.40x = 560,326,379.33
  5. Step 5: Solve for x
    x = 560,326,379.33/36,523.40
  6. Step 6: Final answer
    x = 15,341.57

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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.