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Finding the Fourth Proportional to 31,462.80, 47,183.36 and 12,738.16

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Solution

The fourth proportional to 31,462.80, 47,183.36 and 12,738.16 is: 19,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.80 : 47,183.36 = 12,738.16 : x
  2. Step 2: Convert to fraction form
    31,462.80/47,183.36 = 12,738.16/x
  3. Step 3: Cross multiply
    31,462.80x = 47,183.36 × 12,738.16
  4. Step 4: Simplify right side
    31,462.80x = 601,029,189.02
  5. Step 5: Solve for x
    x = 601,029,189.02/31,462.80
  6. Step 6: Final answer
    x = 19,102.85

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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.