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Finding the Fourth Proportional to 30,249.76, 41,745.18 and 16,638.38

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Solution

The fourth proportional to 30,249.76, 41,745.18 and 16,638.38 is: 22,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,249.76 : 41,745.18 = 16,638.38 : x
  2. Step 2: Convert to fraction form
    30,249.76/41,745.18 = 16,638.38/x
  3. Step 3: Cross multiply
    30,249.76x = 41,745.18 × 16,638.38
  4. Step 4: Simplify right side
    30,249.76x = 694,572,168.01
  5. Step 5: Solve for x
    x = 694,572,168.01/30,249.76
  6. Step 6: Final answer
    x = 22,961.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.