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Finding the Fourth Proportional to 76,650.94, 114,976.98 and 26,730.94

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Solution

The fourth proportional to 76,650.94, 114,976.98 and 26,730.94 is: 40,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650.94 : 114,976.98 = 26,730.94 : x
  2. Step 2: Convert to fraction form
    76,650.94/114,976.98 = 26,730.94/x
  3. Step 3: Cross multiply
    76,650.94x = 114,976.98 × 26,730.94
  4. Step 4: Simplify right side
    76,650.94x = 3,073,442,753.76
  5. Step 5: Solve for x
    x = 3,073,442,753.76/76,650.94
  6. Step 6: Final answer
    x = 40,096.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.