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Finding the Fourth Proportional to 82,321.83, 113,609.38 and 50,486.40

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Solution

The fourth proportional to 82,321.83, 113,609.38 and 50,486.40 is: 69,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,321.83 : 113,609.38 = 50,486.40 : x
  2. Step 2: Convert to fraction form
    82,321.83/113,609.38 = 50,486.40/x
  3. Step 3: Cross multiply
    82,321.83x = 113,609.38 × 50,486.40
  4. Step 4: Simplify right side
    82,321.83x = 5,735,728,996.91
  5. Step 5: Solve for x
    x = 5,735,728,996.91/82,321.83
  6. Step 6: Final answer
    x = 69,674.46

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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.