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Finding the Fourth Proportional to 82,457.37, 113,791.39 and 44,731.62

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Solution

The fourth proportional to 82,457.37, 113,791.39 and 44,731.62 is: 61,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,457.37 : 113,791.39 = 44,731.62 : x
  2. Step 2: Convert to fraction form
    82,457.37/113,791.39 = 44,731.62/x
  3. Step 3: Cross multiply
    82,457.37x = 113,791.39 × 44,731.62
  4. Step 4: Simplify right side
    82,457.37x = 5,090,073,216.75
  5. Step 5: Solve for x
    x = 5,090,073,216.75/82,457.37
  6. Step 6: Final answer
    x = 61,729.75

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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.