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Finding the Fourth Proportional to 82,976.92, 114,516.96 and 50,730.44

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Solution

The fourth proportional to 82,976.92, 114,516.96 and 50,730.44 is: 70,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,976.92 : 114,516.96 = 50,730.44 : x
  2. Step 2: Convert to fraction form
    82,976.92/114,516.96 = 50,730.44/x
  3. Step 3: Cross multiply
    82,976.92x = 114,516.96 × 50,730.44
  4. Step 4: Simplify right side
    82,976.92x = 5,809,495,768.26
  5. Step 5: Solve for x
    x = 5,809,495,768.26/82,976.92
  6. Step 6: Final answer
    x = 70,013.39

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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.