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Finding the Fourth Proportional to 36,481, 54,684.10 and 27,697.32

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Solution

The fourth proportional to 36,481, 54,684.10 and 27,697.32 is: 41,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,481 : 54,684.10 = 27,697.32 : x
  2. Step 2: Convert to fraction form
    36,481/54,684.10 = 27,697.32/x
  3. Step 3: Cross multiply
    36,481x = 54,684.10 × 27,697.32
  4. Step 4: Simplify right side
    36,481x = 1,514,603,016.61
  5. Step 5: Solve for x
    x = 1,514,603,016.61/36,481
  6. Step 6: Final answer
    x = 41,517.58

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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.