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Finding the Fourth Proportional to 36,896, 55,344 and 12,272

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Solution

The fourth proportional to 36,896, 55,344 and 12,272 is: 18,408

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,896 : 55,344 = 12,272 : x
  2. Step 2: Convert to fraction form
    36,896/55,344 = 12,272/x
  3. Step 3: Cross multiply
    36,896x = 55,344 × 12,272
  4. Step 4: Simplify right side
    36,896x = 679,181,568
  5. Step 5: Solve for x
    x = 679,181,568/36,896
  6. Step 6: Final answer
    x = 18,408

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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.