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Finding the Fourth Proportional to 41,407.60, 57,142.16 and 22,544.72

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Solution

The fourth proportional to 41,407.60, 57,142.16 and 22,544.72 is: 31,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407.60 : 57,142.16 = 22,544.72 : x
  2. Step 2: Convert to fraction form
    41,407.60/57,142.16 = 22,544.72/x
  3. Step 3: Cross multiply
    41,407.60x = 57,142.16 × 22,544.72
  4. Step 4: Simplify right side
    41,407.60x = 1,288,253,997.40
  5. Step 5: Solve for x
    x = 1,288,253,997.40/41,407.60
  6. Step 6: Final answer
    x = 31,111.54

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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.