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Finding the Fourth Proportional to 34,406.91, 47,481.17 and 20,977.31

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Solution

The fourth proportional to 34,406.91, 47,481.17 and 20,977.31 is: 28,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.91 : 47,481.17 = 20,977.31 : x
  2. Step 2: Convert to fraction form
    34,406.91/47,481.17 = 20,977.31/x
  3. Step 3: Cross multiply
    34,406.91x = 47,481.17 × 20,977.31
  4. Step 4: Simplify right side
    34,406.91x = 996,026,879.96
  5. Step 5: Solve for x
    x = 996,026,879.96/34,406.91
  6. Step 6: Final answer
    x = 28,948.45

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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.