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Finding the Fourth Proportional to 31,781.12, 47,687.22 and 12,804.96

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Solution

The fourth proportional to 31,781.12, 47,687.22 and 12,804.96 is: 19,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.12 : 47,687.22 = 12,804.96 : x
  2. Step 2: Convert to fraction form
    31,781.12/47,687.22 = 12,804.96/x
  3. Step 3: Cross multiply
    31,781.12x = 47,687.22 × 12,804.96
  4. Step 4: Simplify right side
    31,781.12x = 610,632,944.61
  5. Step 5: Solve for x
    x = 610,632,944.61/31,781.12
  6. Step 6: Final answer
    x = 19,213.70

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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.