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Finding the Fourth Proportional to 82,457.14, 113,791.07 and 44,731.39

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Solution

The fourth proportional to 82,457.14, 113,791.07 and 44,731.39 is: 61,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,457.14 : 113,791.07 = 44,731.39 : x
  2. Step 2: Convert to fraction form
    82,457.14/113,791.07 = 44,731.39/x
  3. Step 3: Cross multiply
    82,457.14x = 113,791.07 × 44,731.39
  4. Step 4: Simplify right side
    82,457.14x = 5,090,032,161.73
  5. Step 5: Solve for x
    x = 5,090,032,161.73/82,457.14
  6. Step 6: Final answer
    x = 61,729.43

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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.