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Finding the Fourth Proportional to 29,141.75, 43,707.75 and 8,083.94

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Solution

The fourth proportional to 29,141.75, 43,707.75 and 8,083.94 is: 12,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,141.75 : 43,707.75 = 8,083.94 : x
  2. Step 2: Convert to fraction form
    29,141.75/43,707.75 = 8,083.94/x
  3. Step 3: Cross multiply
    29,141.75x = 43,707.75 × 8,083.94
  4. Step 4: Simplify right side
    29,141.75x = 353,330,828.54
  5. Step 5: Solve for x
    x = 353,330,828.54/29,141.75
  6. Step 6: Final answer
    x = 12,124.56

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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.