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Finding the Fourth Proportional to 81,788.03, 112,847.31 and 49,945.31

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Solution

The fourth proportional to 81,788.03, 112,847.31 and 49,945.31 is: 68,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,788.03 : 112,847.31 = 49,945.31 : x
  2. Step 2: Convert to fraction form
    81,788.03/112,847.31 = 49,945.31/x
  3. Step 3: Cross multiply
    81,788.03x = 112,847.31 × 49,945.31
  4. Step 4: Simplify right side
    81,788.03x = 5,636,193,316.38
  5. Step 5: Solve for x
    x = 5,636,193,316.38/81,788.03
  6. Step 6: Final answer
    x = 68,912.21

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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.