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Finding the Fourth Proportional to 41,180.74, 61,839.43 and 25,696.78

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Solution

The fourth proportional to 41,180.74, 61,839.43 and 25,696.78 is: 38,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,180.74 : 61,839.43 = 25,696.78 : x
  2. Step 2: Convert to fraction form
    41,180.74/61,839.43 = 25,696.78/x
  3. Step 3: Cross multiply
    41,180.74x = 61,839.43 × 25,696.78
  4. Step 4: Simplify right side
    41,180.74x = 1,589,074,009.19
  5. Step 5: Solve for x
    x = 1,589,074,009.19/41,180.74
  6. Step 6: Final answer
    x = 38,587.80

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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.