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Finding the Fourth Proportional to 31,057.57, 42,859.97 and 17,629.24

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Solution

The fourth proportional to 31,057.57, 42,859.97 and 17,629.24 is: 24,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.57 : 42,859.97 = 17,629.24 : x
  2. Step 2: Convert to fraction form
    31,057.57/42,859.97 = 17,629.24/x
  3. Step 3: Cross multiply
    31,057.57x = 42,859.97 × 17,629.24
  4. Step 4: Simplify right side
    31,057.57x = 755,588,609.38
  5. Step 5: Solve for x
    x = 755,588,609.38/31,057.57
  6. Step 6: Final answer
    x = 24,328.65

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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.