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Finding the Fourth Proportional to 36,647.38, 54,975 and 11,681.56

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Solution

The fourth proportional to 36,647.38, 54,975 and 11,681.56 is: 17,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,647.38 : 54,975 = 11,681.56 : x
  2. Step 2: Convert to fraction form
    36,647.38/54,975 = 11,681.56/x
  3. Step 3: Cross multiply
    36,647.38x = 54,975 × 11,681.56
  4. Step 4: Simplify right side
    36,647.38x = 642,193,761
  5. Step 5: Solve for x
    x = 642,193,761/36,647.38
  6. Step 6: Final answer
    x = 17,523.59

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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.