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Finding the Fourth Proportional to 41,420.89, 57,161.43 and 22,558

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Solution

The fourth proportional to 41,420.89, 57,161.43 and 22,558 is: 31,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,420.89 : 57,161.43 = 22,558 : x
  2. Step 2: Convert to fraction form
    41,420.89/57,161.43 = 22,558/x
  3. Step 3: Cross multiply
    41,420.89x = 57,161.43 × 22,558
  4. Step 4: Simplify right side
    41,420.89x = 1,289,447,537.94
  5. Step 5: Solve for x
    x = 1,289,447,537.94/41,420.89
  6. Step 6: Final answer
    x = 31,130.37

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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.