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Finding the Fourth Proportional to 36,112.64, 54,168.32 and 11,488

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Solution

The fourth proportional to 36,112.64, 54,168.32 and 11,488 is: 17,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,112.64 : 54,168.32 = 11,488 : x
  2. Step 2: Convert to fraction form
    36,112.64/54,168.32 = 11,488/x
  3. Step 3: Cross multiply
    36,112.64x = 54,168.32 × 11,488
  4. Step 4: Simplify right side
    36,112.64x = 622,285,660.16
  5. Step 5: Solve for x
    x = 622,285,660.16/36,112.64
  6. Step 6: Final answer
    x = 17,231.80

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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.