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Finding the Fourth Proportional to 36,774, 54,992.79 and 27,420.39

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Solution

The fourth proportional to 36,774, 54,992.79 and 27,420.39 is: 41,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,774 : 54,992.79 = 27,420.39 : x
  2. Step 2: Convert to fraction form
    36,774/54,992.79 = 27,420.39/x
  3. Step 3: Cross multiply
    36,774x = 54,992.79 × 27,420.39
  4. Step 4: Simplify right side
    36,774x = 1,507,923,748.99
  5. Step 5: Solve for x
    x = 1,507,923,748.99/36,774
  6. Step 6: Final answer
    x = 41,005.16

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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.