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Finding the Fourth Proportional to 41,419.89, 57,160.05 and 22,557

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Solution

The fourth proportional to 41,419.89, 57,160.05 and 22,557 is: 31,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,419.89 : 57,160.05 = 22,557 : x
  2. Step 2: Convert to fraction form
    41,419.89/57,160.05 = 22,557/x
  3. Step 3: Cross multiply
    41,419.89x = 57,160.05 × 22,557
  4. Step 4: Simplify right side
    41,419.89x = 1,289,359,247.85
  5. Step 5: Solve for x
    x = 1,289,359,247.85/41,419.89
  6. Step 6: Final answer
    x = 31,128.99

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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.