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Finding the Fourth Proportional to 36,537.77, 54,773.74 and 13,147.75

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Solution

The fourth proportional to 36,537.77, 54,773.74 and 13,147.75 is: 19,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,537.77 : 54,773.74 = 13,147.75 : x
  2. Step 2: Convert to fraction form
    36,537.77/54,773.74 = 13,147.75/x
  3. Step 3: Cross multiply
    36,537.77x = 54,773.74 × 13,147.75
  4. Step 4: Simplify right side
    36,537.77x = 720,151,440.09
  5. Step 5: Solve for x
    x = 720,151,440.09/36,537.77
  6. Step 6: Final answer
    x = 19,709.78

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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.