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Finding the Fourth Proportional to 31,463.30, 47,211.44 and 12,745.32

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Solution

The fourth proportional to 31,463.30, 47,211.44 and 12,745.32 is: 19,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,463.30 : 47,211.44 = 12,745.32 : x
  2. Step 2: Convert to fraction form
    31,463.30/47,211.44 = 12,745.32/x
  3. Step 3: Cross multiply
    31,463.30x = 47,211.44 × 12,745.32
  4. Step 4: Simplify right side
    31,463.30x = 601,724,846.73
  5. Step 5: Solve for x
    x = 601,724,846.73/31,463.30
  6. Step 6: Final answer
    x = 19,124.66

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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.