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Finding the Fourth Proportional to 41,433.92, 57,179.40 and 22,571

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Solution

The fourth proportional to 41,433.92, 57,179.40 and 22,571 is: 31,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,433.92 : 57,179.40 = 22,571 : x
  2. Step 2: Convert to fraction form
    41,433.92/57,179.40 = 22,571/x
  3. Step 3: Cross multiply
    41,433.92x = 57,179.40 × 22,571
  4. Step 4: Simplify right side
    41,433.92x = 1,290,596,237.40
  5. Step 5: Solve for x
    x = 1,290,596,237.40/41,433.92
  6. Step 6: Final answer
    x = 31,148.30

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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.