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Finding the Fourth Proportional to 36,105.14, 54,142.22 and 12,415.07

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Solution

The fourth proportional to 36,105.14, 54,142.22 and 12,415.07 is: 18,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,105.14 : 54,142.22 = 12,415.07 : x
  2. Step 2: Convert to fraction form
    36,105.14/54,142.22 = 12,415.07/x
  3. Step 3: Cross multiply
    36,105.14x = 54,142.22 × 12,415.07
  4. Step 4: Simplify right side
    36,105.14x = 672,179,617.65
  5. Step 5: Solve for x
    x = 672,179,617.65/36,105.14
  6. Step 6: Final answer
    x = 18,617.28

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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.