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Finding the Fourth Proportional to 82,743.48, 114,194.43 and 48,762.54

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Solution

The fourth proportional to 82,743.48, 114,194.43 and 48,762.54 is: 67,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,743.48 : 114,194.43 = 48,762.54 : x
  2. Step 2: Convert to fraction form
    82,743.48/114,194.43 = 48,762.54/x
  3. Step 3: Cross multiply
    82,743.48x = 114,194.43 × 48,762.54
  4. Step 4: Simplify right side
    82,743.48x = 5,568,410,460.65
  5. Step 5: Solve for x
    x = 5,568,410,460.65/82,743.48
  6. Step 6: Final answer
    x = 67,297.27

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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.