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Finding the Fourth Proportional to 54,102.94, 74,662.16 and 30,234.67

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Solution

The fourth proportional to 54,102.94, 74,662.16 and 30,234.67 is: 41,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,102.94 : 74,662.16 = 30,234.67 : x
  2. Step 2: Convert to fraction form
    54,102.94/74,662.16 = 30,234.67/x
  3. Step 3: Cross multiply
    54,102.94x = 74,662.16 × 30,234.67
  4. Step 4: Simplify right side
    54,102.94x = 2,257,385,431.26
  5. Step 5: Solve for x
    x = 2,257,385,431.26/54,102.94
  6. Step 6: Final answer
    x = 41,723.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.