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Finding the Fourth Proportional to 31,450.96, 47,179.08 and 8,077.36

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Solution

The fourth proportional to 31,450.96, 47,179.08 and 8,077.36 is: 12,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450.96 : 47,179.08 = 8,077.36 : x
  2. Step 2: Convert to fraction form
    31,450.96/47,179.08 = 8,077.36/x
  3. Step 3: Cross multiply
    31,450.96x = 47,179.08 × 8,077.36
  4. Step 4: Simplify right side
    31,450.96x = 381,082,413.63
  5. Step 5: Solve for x
    x = 381,082,413.63/31,450.96
  6. Step 6: Final answer
    x = 12,116.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.