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Finding the Fourth Proportional to 82,455.87, 113,789.32 and 44,730.12

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Solution

The fourth proportional to 82,455.87, 113,789.32 and 44,730.12 is: 61,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,455.87 : 113,789.32 = 44,730.12 : x
  2. Step 2: Convert to fraction form
    82,455.87/113,789.32 = 44,730.12/x
  3. Step 3: Cross multiply
    82,455.87x = 113,789.32 × 44,730.12
  4. Step 4: Simplify right side
    82,455.87x = 5,089,809,145.72
  5. Step 5: Solve for x
    x = 5,089,809,145.72/82,455.87
  6. Step 6: Final answer
    x = 61,727.68

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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.