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Finding the Fourth Proportional to 41,571.24, 57,358.82 and 24,801

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Solution

The fourth proportional to 41,571.24, 57,358.82 and 24,801 is: 34,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,571.24 : 57,358.82 = 24,801 : x
  2. Step 2: Convert to fraction form
    41,571.24/57,358.82 = 24,801/x
  3. Step 3: Cross multiply
    41,571.24x = 57,358.82 × 24,801
  4. Step 4: Simplify right side
    41,571.24x = 1,422,556,094.82
  5. Step 5: Solve for x
    x = 1,422,556,094.82/41,571.24
  6. Step 6: Final answer
    x = 34,219.72

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