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Finding the Fourth Proportional to 29,072, 43,608.42 and 8,295.50

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Solution

The fourth proportional to 29,072, 43,608.42 and 8,295.50 is: 12,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,072 : 43,608.42 = 8,295.50 : x
  2. Step 2: Convert to fraction form
    29,072/43,608.42 = 8,295.50/x
  3. Step 3: Cross multiply
    29,072x = 43,608.42 × 8,295.50
  4. Step 4: Simplify right side
    29,072x = 361,753,648.11
  5. Step 5: Solve for x
    x = 361,753,648.11/29,072
  6. Step 6: Final answer
    x = 12,443.37

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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.