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Finding the Fourth Proportional to 82,224.37, 113,469.58 and 46,414.69

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Solution

The fourth proportional to 82,224.37, 113,469.58 and 46,414.69 is: 64,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224.37 : 113,469.58 = 46,414.69 : x
  2. Step 2: Convert to fraction form
    82,224.37/113,469.58 = 46,414.69/x
  3. Step 3: Cross multiply
    82,224.37x = 113,469.58 × 46,414.69
  4. Step 4: Simplify right side
    82,224.37x = 5,266,655,380.13
  5. Step 5: Solve for x
    x = 5,266,655,380.13/82,224.37
  6. Step 6: Final answer
    x = 64,052.24

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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.