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Finding the Fourth Proportional to 41,684.28, 57,524.16 and 22,821.24

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Solution

The fourth proportional to 41,684.28, 57,524.16 and 22,821.24 is: 31,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,684.28 : 57,524.16 = 22,821.24 : x
  2. Step 2: Convert to fraction form
    41,684.28/57,524.16 = 22,821.24/x
  3. Step 3: Cross multiply
    41,684.28x = 57,524.16 × 22,821.24
  4. Step 4: Simplify right side
    41,684.28x = 1,312,772,661.16
  5. Step 5: Solve for x
    x = 1,312,772,661.16/41,684.28
  6. Step 6: Final answer
    x = 31,493.23

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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.