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Finding the Fourth Proportional to 41,425.46, 57,148.94 and 27,991.82

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Solution

The fourth proportional to 41,425.46, 57,148.94 and 27,991.82 is: 38,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,425.46 : 57,148.94 = 27,991.82 : x
  2. Step 2: Convert to fraction form
    41,425.46/57,148.94 = 27,991.82/x
  3. Step 3: Cross multiply
    41,425.46x = 57,148.94 × 27,991.82
  4. Step 4: Simplify right side
    41,425.46x = 1,599,702,555.93
  5. Step 5: Solve for x
    x = 1,599,702,555.93/41,425.46
  6. Step 6: Final answer
    x = 38,616.41

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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.