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Finding the Fourth Proportional to 76,725.69, 114,969.17 and 29,314.92

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Solution

The fourth proportional to 76,725.69, 114,969.17 and 29,314.92 is: 43,926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725.69 : 114,969.17 = 29,314.92 : x
  2. Step 2: Convert to fraction form
    76,725.69/114,969.17 = 29,314.92/x
  3. Step 3: Cross multiply
    76,725.69x = 114,969.17 × 29,314.92
  4. Step 4: Simplify right side
    76,725.69x = 3,370,311,874.44
  5. Step 5: Solve for x
    x = 3,370,311,874.44/76,725.69
  6. Step 6: Final answer
    x = 43,926.77

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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.