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Finding the Fourth Proportional to 41,412.16, 57,149 and 22,549.76

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Solution

The fourth proportional to 41,412.16, 57,149 and 22,549.76 is: 31,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,412.16 : 57,149 = 22,549.76 : x
  2. Step 2: Convert to fraction form
    41,412.16/57,149 = 22,549.76/x
  3. Step 3: Cross multiply
    41,412.16x = 57,149 × 22,549.76
  4. Step 4: Simplify right side
    41,412.16x = 1,288,696,234.24
  5. Step 5: Solve for x
    x = 1,288,696,234.24/41,412.16
  6. Step 6: Final answer
    x = 31,118.79

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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.