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Finding the Fourth Proportional to 41,395, 62,093.06 and 11,812.83

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Solution

The fourth proportional to 41,395, 62,093.06 and 11,812.83 is: 17,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,395 : 62,093.06 = 11,812.83 : x
  2. Step 2: Convert to fraction form
    41,395/62,093.06 = 11,812.83/x
  3. Step 3: Cross multiply
    41,395x = 62,093.06 × 11,812.83
  4. Step 4: Simplify right side
    41,395x = 733,494,761.96
  5. Step 5: Solve for x
    x = 733,494,761.96/41,395
  6. Step 6: Final answer
    x = 17,719.40

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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.