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Finding the Fourth Proportional to 34,076.85, 47,025.67 and 18,969.27

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Solution

The fourth proportional to 34,076.85, 47,025.67 and 18,969.27 is: 26,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,076.85 : 47,025.67 = 18,969.27 : x
  2. Step 2: Convert to fraction form
    34,076.85/47,025.67 = 18,969.27/x
  3. Step 3: Cross multiply
    34,076.85x = 47,025.67 × 18,969.27
  4. Step 4: Simplify right side
    34,076.85x = 892,042,631.16
  5. Step 5: Solve for x
    x = 892,042,631.16/34,076.85
  6. Step 6: Final answer
    x = 26,177.38

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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.