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Finding the Fourth Proportional to 41,466, 57,223.10 and 23,561.03

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Solution

The fourth proportional to 41,466, 57,223.10 and 23,561.03 is: 32,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,466 : 57,223.10 = 23,561.03 : x
  2. Step 2: Convert to fraction form
    41,466/57,223.10 = 23,561.03/x
  3. Step 3: Cross multiply
    41,466x = 57,223.10 × 23,561.03
  4. Step 4: Simplify right side
    41,466x = 1,348,234,771.87
  5. Step 5: Solve for x
    x = 1,348,234,771.87/41,466
  6. Step 6: Final answer
    x = 32,514.22

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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.