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Finding the Fourth Proportional to 41,702.16, 57,549.01 and 22,582.09

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Solution

The fourth proportional to 41,702.16, 57,549.01 and 22,582.09 is: 31,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702.16 : 57,549.01 = 22,582.09 : x
  2. Step 2: Convert to fraction form
    41,702.16/57,549.01 = 22,582.09/x
  3. Step 3: Cross multiply
    41,702.16x = 57,549.01 × 22,582.09
  4. Step 4: Simplify right side
    41,702.16x = 1,299,576,657.34
  5. Step 5: Solve for x
    x = 1,299,576,657.34/41,702.16
  6. Step 6: Final answer
    x = 31,163.30

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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.