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Finding the Fourth Proportional to 34,406.34, 47,481.70 and 20,974.52

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Solution

The fourth proportional to 34,406.34, 47,481.70 and 20,974.52 is: 28,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.34 : 47,481.70 = 20,974.52 : x
  2. Step 2: Convert to fraction form
    34,406.34/47,481.70 = 20,974.52/x
  3. Step 3: Cross multiply
    34,406.34x = 47,481.70 × 20,974.52
  4. Step 4: Simplify right side
    34,406.34x = 995,905,866.28
  5. Step 5: Solve for x
    x = 995,905,866.28/34,406.34
  6. Step 6: Final answer
    x = 28,945.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.