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Finding the Fourth Proportional to 31,382.80, 47,245.18 and 27,097.36

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Solution

The fourth proportional to 31,382.80, 47,245.18 and 27,097.36 is: 40,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.80 : 47,245.18 = 27,097.36 : x
  2. Step 2: Convert to fraction form
    31,382.80/47,245.18 = 27,097.36/x
  3. Step 3: Cross multiply
    31,382.80x = 47,245.18 × 27,097.36
  4. Step 4: Simplify right side
    31,382.80x = 1,280,219,650.72
  5. Step 5: Solve for x
    x = 1,280,219,650.72/31,382.80
  6. Step 6: Final answer
    x = 40,793.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.