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Finding the Fourth Proportional to 36,643.50, 54,962.49 and 11,682.54

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Solution

The fourth proportional to 36,643.50, 54,962.49 and 11,682.54 is: 17,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,643.50 : 54,962.49 = 11,682.54 : x
  2. Step 2: Convert to fraction form
    36,643.50/54,962.49 = 11,682.54/x
  3. Step 3: Cross multiply
    36,643.50x = 54,962.49 × 11,682.54
  4. Step 4: Simplify right side
    36,643.50x = 642,101,487.92
  5. Step 5: Solve for x
    x = 642,101,487.92/36,643.50
  6. Step 6: Final answer
    x = 17,522.93

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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.