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Finding the Fourth Proportional to 41,728, 62,597.12 and 12,544

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Solution

The fourth proportional to 41,728, 62,597.12 and 12,544 is: 18,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,728 : 62,597.12 = 12,544 : x
  2. Step 2: Convert to fraction form
    41,728/62,597.12 = 12,544/x
  3. Step 3: Cross multiply
    41,728x = 62,597.12 × 12,544
  4. Step 4: Simplify right side
    41,728x = 785,218,273.28
  5. Step 5: Solve for x
    x = 785,218,273.28/41,728
  6. Step 6: Final answer
    x = 18,817.54

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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.