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Finding the Fourth Proportional to 82,687.86, 114,100.38 and 48,694.32

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Solution

The fourth proportional to 82,687.86, 114,100.38 and 48,694.32 is: 67,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,687.86 : 114,100.38 = 48,694.32 : x
  2. Step 2: Convert to fraction form
    82,687.86/114,100.38 = 48,694.32/x
  3. Step 3: Cross multiply
    82,687.86x = 114,100.38 × 48,694.32
  4. Step 4: Simplify right side
    82,687.86x = 5,556,040,415.84
  5. Step 5: Solve for x
    x = 5,556,040,415.84/82,687.86
  6. Step 6: Final answer
    x = 67,192.94

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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.