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Finding the Fourth Proportional to 82,462.26, 113,797.96 and 44,736.50

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Solution

The fourth proportional to 82,462.26, 113,797.96 and 44,736.50 is: 61,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,462.26 : 113,797.96 = 44,736.50 : x
  2. Step 2: Convert to fraction form
    82,462.26/113,797.96 = 44,736.50/x
  3. Step 3: Cross multiply
    82,462.26x = 113,797.96 × 44,736.50
  4. Step 4: Simplify right side
    82,462.26x = 5,090,922,437.54
  5. Step 5: Solve for x
    x = 5,090,922,437.54/82,462.26
  6. Step 6: Final answer
    x = 61,736.39

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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.