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Finding the Fourth Proportional to 40,198, 60,302.12 and 11,014

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Solution

The fourth proportional to 40,198, 60,302.12 and 11,014 is: 16,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,198 : 60,302.12 = 11,014 : x
  2. Step 2: Convert to fraction form
    40,198/60,302.12 = 11,014/x
  3. Step 3: Cross multiply
    40,198x = 60,302.12 × 11,014
  4. Step 4: Simplify right side
    40,198x = 664,167,549.68
  5. Step 5: Solve for x
    x = 664,167,549.68/40,198
  6. Step 6: Final answer
    x = 16,522.40

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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.