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Finding the Fourth Proportional to 82,161.69, 113,383.13 and 44,435.94

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Solution

The fourth proportional to 82,161.69, 113,383.13 and 44,435.94 is: 61,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,161.69 : 113,383.13 = 44,435.94 : x
  2. Step 2: Convert to fraction form
    82,161.69/113,383.13 = 44,435.94/x
  3. Step 3: Cross multiply
    82,161.69x = 113,383.13 × 44,435.94
  4. Step 4: Simplify right side
    82,161.69x = 5,038,285,678.23
  5. Step 5: Solve for x
    x = 5,038,285,678.23/82,161.69
  6. Step 6: Final answer
    x = 61,321.59

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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.