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Finding the Fourth Proportional to 82,511.92, 113,662.38 and 70,372.72

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Solution

The fourth proportional to 82,511.92, 113,662.38 and 70,372.72 is: 96,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,511.92 : 113,662.38 = 70,372.72 : x
  2. Step 2: Convert to fraction form
    82,511.92/113,662.38 = 70,372.72/x
  3. Step 3: Cross multiply
    82,511.92x = 113,662.38 × 70,372.72
  4. Step 4: Simplify right side
    82,511.92x = 7,998,730,842.27
  5. Step 5: Solve for x
    x = 7,998,730,842.27/82,511.92
  6. Step 6: Final answer
    x = 96,940.31

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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.