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Finding the Fourth Proportional to 41,702.23, 57,549.20 and 22,582.23

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Solution

The fourth proportional to 41,702.23, 57,549.20 and 22,582.23 is: 31,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702.23 : 57,549.20 = 22,582.23 : x
  2. Step 2: Convert to fraction form
    41,702.23/57,549.20 = 22,582.23/x
  3. Step 3: Cross multiply
    41,702.23x = 57,549.20 × 22,582.23
  4. Step 4: Simplify right side
    41,702.23x = 1,299,589,157.80
  5. Step 5: Solve for x
    x = 1,299,589,157.80/41,702.23
  6. Step 6: Final answer
    x = 31,163.54

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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.