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Finding the Fourth Proportional to 41,878.66, 57,792.09 and 23,015.38

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Solution

The fourth proportional to 41,878.66, 57,792.09 and 23,015.38 is: 31,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,878.66 : 57,792.09 = 23,015.38 : x
  2. Step 2: Convert to fraction form
    41,878.66/57,792.09 = 23,015.38/x
  3. Step 3: Cross multiply
    41,878.66x = 57,792.09 × 23,015.38
  4. Step 4: Simplify right side
    41,878.66x = 1,330,106,912.34
  5. Step 5: Solve for x
    x = 1,330,106,912.34/41,878.66
  6. Step 6: Final answer
    x = 31,760.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.