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Finding the Fourth Proportional to 82,454.20, 113,786.34 and 44,728.36

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Solution

The fourth proportional to 82,454.20, 113,786.34 and 44,728.36 is: 61,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,454.20 : 113,786.34 = 44,728.36 : x
  2. Step 2: Convert to fraction form
    82,454.20/113,786.34 = 44,728.36/x
  3. Step 3: Cross multiply
    82,454.20x = 113,786.34 × 44,728.36
  4. Step 4: Simplify right side
    82,454.20x = 5,089,476,378.60
  5. Step 5: Solve for x
    x = 5,089,476,378.60/82,454.20
  6. Step 6: Final answer
    x = 61,724.89

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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.