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Finding the Fourth Proportional to 41,406.76, 57,141.46 and 22,544

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Solution

The fourth proportional to 41,406.76, 57,141.46 and 22,544 is: 31,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,406.76 : 57,141.46 = 22,544 : x
  2. Step 2: Convert to fraction form
    41,406.76/57,141.46 = 22,544/x
  3. Step 3: Cross multiply
    41,406.76x = 57,141.46 × 22,544
  4. Step 4: Simplify right side
    41,406.76x = 1,288,197,074.24
  5. Step 5: Solve for x
    x = 1,288,197,074.24/41,406.76
  6. Step 6: Final answer
    x = 31,110.79

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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.