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Finding the Fourth Proportional to 31,626.96, 47,430.36 and 12,906.96

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Solution

The fourth proportional to 31,626.96, 47,430.36 and 12,906.96 is: 19,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,626.96 : 47,430.36 = 12,906.96 : x
  2. Step 2: Convert to fraction form
    31,626.96/47,430.36 = 12,906.96/x
  3. Step 3: Cross multiply
    31,626.96x = 47,430.36 × 12,906.96
  4. Step 4: Simplify right side
    31,626.96x = 612,181,759.31
  5. Step 5: Solve for x
    x = 612,181,759.31/31,626.96
  6. Step 6: Final answer
    x = 19,356.33

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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.