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Finding the Fourth Proportional to 41,792.09, 62,704.13 and 25,164

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Solution

The fourth proportional to 41,792.09, 62,704.13 and 25,164 is: 37,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,792.09 : 62,704.13 = 25,164 : x
  2. Step 2: Convert to fraction form
    41,792.09/62,704.13 = 25,164/x
  3. Step 3: Cross multiply
    41,792.09x = 62,704.13 × 25,164
  4. Step 4: Simplify right side
    41,792.09x = 1,577,886,601.50
  5. Step 5: Solve for x
    x = 1,577,886,601.50/41,792.09
  6. Step 6: Final answer
    x = 37,755.63

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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.