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Finding the Fourth Proportional to 41,858.54, 57,764.61 and 22,738.16

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Solution

The fourth proportional to 41,858.54, 57,764.61 and 22,738.16 is: 31,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,858.54 : 57,764.61 = 22,738.16 : x
  2. Step 2: Convert to fraction form
    41,858.54/57,764.61 = 22,738.16/x
  3. Step 3: Cross multiply
    41,858.54x = 57,764.61 × 22,738.16
  4. Step 4: Simplify right side
    41,858.54x = 1,313,460,655.69
  5. Step 5: Solve for x
    x = 1,313,460,655.69/41,858.54
  6. Step 6: Final answer
    x = 31,378.56

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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.