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Finding the Fourth Proportional to 84,662.40, 116,849.40 and 48,847.44

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Solution

The fourth proportional to 84,662.40, 116,849.40 and 48,847.44 is: 67,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,662.40 : 116,849.40 = 48,847.44 : x
  2. Step 2: Convert to fraction form
    84,662.40/116,849.40 = 48,847.44/x
  3. Step 3: Cross multiply
    84,662.40x = 116,849.40 × 48,847.44
  4. Step 4: Simplify right side
    84,662.40x = 5,707,794,055.54
  5. Step 5: Solve for x
    x = 5,707,794,055.54/84,662.40
  6. Step 6: Final answer
    x = 67,418.29

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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.