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Finding the Fourth Proportional to 84,198, 126,350.78 and 39,827.37

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Solution

The fourth proportional to 84,198, 126,350.78 and 39,827.37 is: 59,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,198 : 126,350.78 = 39,827.37 : x
  2. Step 2: Convert to fraction form
    84,198/126,350.78 = 39,827.37/x
  3. Step 3: Cross multiply
    84,198x = 126,350.78 × 39,827.37
  4. Step 4: Simplify right side
    84,198x = 5,032,219,065.71
  5. Step 5: Solve for x
    x = 5,032,219,065.71/84,198
  6. Step 6: Final answer
    x = 59,766.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.