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Finding the Fourth Proportional to 82,546.24, 113,914.24 and 46,743.23

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Solution

The fourth proportional to 82,546.24, 113,914.24 and 46,743.23 is: 64,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,546.24 : 113,914.24 = 46,743.23 : x
  2. Step 2: Convert to fraction form
    82,546.24/113,914.24 = 46,743.23/x
  3. Step 3: Cross multiply
    82,546.24x = 113,914.24 × 46,743.23
  4. Step 4: Simplify right side
    82,546.24x = 5,324,719,520.60
  5. Step 5: Solve for x
    x = 5,324,719,520.60/82,546.24
  6. Step 6: Final answer
    x = 64,505.90

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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.