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Finding the Fourth Proportional to 41,816.41, 57,705.67 and 22,696.23

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Solution

The fourth proportional to 41,816.41, 57,705.67 and 22,696.23 is: 31,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,816.41 : 57,705.67 = 22,696.23 : x
  2. Step 2: Convert to fraction form
    41,816.41/57,705.67 = 22,696.23/x
  3. Step 3: Cross multiply
    41,816.41x = 57,705.67 × 22,696.23
  4. Step 4: Simplify right side
    41,816.41x = 1,309,701,158.62
  5. Step 5: Solve for x
    x = 1,309,701,158.62/41,816.41
  6. Step 6: Final answer
    x = 31,320.27

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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.