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Finding the Fourth Proportional to 61,205.85, 84,464.69 and 33,982.38

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Solution

The fourth proportional to 61,205.85, 84,464.69 and 33,982.38 is: 46,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,205.85 : 84,464.69 = 33,982.38 : x
  2. Step 2: Convert to fraction form
    61,205.85/84,464.69 = 33,982.38/x
  3. Step 3: Cross multiply
    61,205.85x = 84,464.69 × 33,982.38
  4. Step 4: Simplify right side
    61,205.85x = 2,870,311,192.16
  5. Step 5: Solve for x
    x = 2,870,311,192.16/61,205.85
  6. Step 6: Final answer
    x = 46,896.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.