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Finding the Fourth Proportional to 41,816.92, 57,707.43 and 24,824.57

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Solution

The fourth proportional to 41,816.92, 57,707.43 and 24,824.57 is: 34,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,816.92 : 57,707.43 = 24,824.57 : x
  2. Step 2: Convert to fraction form
    41,816.92/57,707.43 = 24,824.57/x
  3. Step 3: Cross multiply
    41,816.92x = 57,707.43 × 24,824.57
  4. Step 4: Simplify right side
    41,816.92x = 1,432,562,357.40
  5. Step 5: Solve for x
    x = 1,432,562,357.40/41,816.92
  6. Step 6: Final answer
    x = 34,257.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.