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Finding the Fourth Proportional to 41,381, 62,083.74 and 23,863.40

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Solution

The fourth proportional to 41,381, 62,083.74 and 23,863.40 is: 35,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,381 : 62,083.74 = 23,863.40 : x
  2. Step 2: Convert to fraction form
    41,381/62,083.74 = 23,863.40/x
  3. Step 3: Cross multiply
    41,381x = 62,083.74 × 23,863.40
  4. Step 4: Simplify right side
    41,381x = 1,481,529,121.12
  5. Step 5: Solve for x
    x = 1,481,529,121.12/41,381
  6. Step 6: Final answer
    x = 35,802.16

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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.