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Finding the Fourth Proportional to 41,706.20, 62,705.10 and 40,831.40

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Solution

The fourth proportional to 41,706.20, 62,705.10 and 40,831.40 is: 61,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,706.20 : 62,705.10 = 40,831.40 : x
  2. Step 2: Convert to fraction form
    41,706.20/62,705.10 = 40,831.40/x
  3. Step 3: Cross multiply
    41,706.20x = 62,705.10 × 40,831.40
  4. Step 4: Simplify right side
    41,706.20x = 2,560,337,020.14
  5. Step 5: Solve for x
    x = 2,560,337,020.14/41,706.20
  6. Step 6: Final answer
    x = 61,389.84

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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.