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Finding the Fourth Proportional to 36,086, 54,137.68 and 11,462

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Solution

The fourth proportional to 36,086, 54,137.68 and 11,462 is: 17,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,086 : 54,137.68 = 11,462 : x
  2. Step 2: Convert to fraction form
    36,086/54,137.68 = 11,462/x
  3. Step 3: Cross multiply
    36,086x = 54,137.68 × 11,462
  4. Step 4: Simplify right side
    36,086x = 620,526,088.16
  5. Step 5: Solve for x
    x = 620,526,088.16/36,086
  6. Step 6: Final answer
    x = 17,195.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.