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Finding the Fourth Proportional to 41,687.75, 57,529.64 and 22,824.47

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Solution

The fourth proportional to 41,687.75, 57,529.64 and 22,824.47 is: 31,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,687.75 : 57,529.64 = 22,824.47 : x
  2. Step 2: Convert to fraction form
    41,687.75/57,529.64 = 22,824.47/x
  3. Step 3: Cross multiply
    41,687.75x = 57,529.64 × 22,824.47
  4. Step 4: Simplify right side
    41,687.75x = 1,313,083,542.29
  5. Step 5: Solve for x
    x = 1,313,083,542.29/41,687.75
  6. Step 6: Final answer
    x = 31,498.07

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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.