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Finding the Fourth Proportional to 41,782.78, 57,661.44 and 22,921.12

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Solution

The fourth proportional to 41,782.78, 57,661.44 and 22,921.12 is: 31,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,782.78 : 57,661.44 = 22,921.12 : x
  2. Step 2: Convert to fraction form
    41,782.78/57,661.44 = 22,921.12/x
  3. Step 3: Cross multiply
    41,782.78x = 57,661.44 × 22,921.12
  4. Step 4: Simplify right side
    41,782.78x = 1,321,664,785.61
  5. Step 5: Solve for x
    x = 1,321,664,785.61/41,782.78
  6. Step 6: Final answer
    x = 31,631.81

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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.