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Finding the Fourth Proportional to 81,906.94, 113,035.21 and 46,099.27

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Solution

The fourth proportional to 81,906.94, 113,035.21 and 46,099.27 is: 63,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.94 : 113,035.21 = 46,099.27 : x
  2. Step 2: Convert to fraction form
    81,906.94/113,035.21 = 46,099.27/x
  3. Step 3: Cross multiply
    81,906.94x = 113,035.21 × 46,099.27
  4. Step 4: Simplify right side
    81,906.94x = 5,210,839,869.62
  5. Step 5: Solve for x
    x = 5,210,839,869.62/81,906.94
  6. Step 6: Final answer
    x = 63,619.03

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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.