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Finding the Fourth Proportional to 41,616, 57,433.56 and 23,711.76

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Solution

The fourth proportional to 41,616, 57,433.56 and 23,711.76 is: 32,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,616 : 57,433.56 = 23,711.76 : x
  2. Step 2: Convert to fraction form
    41,616/57,433.56 = 23,711.76/x
  3. Step 3: Cross multiply
    41,616x = 57,433.56 × 23,711.76
  4. Step 4: Simplify right side
    41,616x = 1,361,850,790.67
  5. Step 5: Solve for x
    x = 1,361,850,790.67/41,616
  6. Step 6: Final answer
    x = 32,724.21

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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.