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Finding the Fourth Proportional to 31,465.10, 47,234.10 and 18,999.20

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Solution

The fourth proportional to 31,465.10, 47,234.10 and 18,999.20 is: 28,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.10 : 47,234.10 = 18,999.20 : x
  2. Step 2: Convert to fraction form
    31,465.10/47,234.10 = 18,999.20/x
  3. Step 3: Cross multiply
    31,465.10x = 47,234.10 × 18,999.20
  4. Step 4: Simplify right side
    31,465.10x = 897,410,112.72
  5. Step 5: Solve for x
    x = 897,410,112.72/31,465.10
  6. Step 6: Final answer
    x = 28,520.81

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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.