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Finding the Fourth Proportional to 34,083.72, 47,034.72 and 18,976.44

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Solution

The fourth proportional to 34,083.72, 47,034.72 and 18,976.44 is: 26,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,083.72 : 47,034.72 = 18,976.44 : x
  2. Step 2: Convert to fraction form
    34,083.72/47,034.72 = 18,976.44/x
  3. Step 3: Cross multiply
    34,083.72x = 47,034.72 × 18,976.44
  4. Step 4: Simplify right side
    34,083.72x = 892,551,542.00
  5. Step 5: Solve for x
    x = 892,551,542.00/34,083.72
  6. Step 6: Final answer
    x = 26,187.03

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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.