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Finding the Fourth Proportional to 41,639.54, 57,463 and 22,776.26

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Solution

The fourth proportional to 41,639.54, 57,463 and 22,776.26 is: 31,431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,639.54 : 57,463 = 22,776.26 : x
  2. Step 2: Convert to fraction form
    41,639.54/57,463 = 22,776.26/x
  3. Step 3: Cross multiply
    41,639.54x = 57,463 × 22,776.26
  4. Step 4: Simplify right side
    41,639.54x = 1,308,792,228.38
  5. Step 5: Solve for x
    x = 1,308,792,228.38/41,639.54
  6. Step 6: Final answer
    x = 31,431.48

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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.