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Finding the Fourth Proportional to 30,823.48, 46,234.62 and 7,449.64

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Solution

The fourth proportional to 30,823.48, 46,234.62 and 7,449.64 is: 11,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.48 : 46,234.62 = 7,449.64 : x
  2. Step 2: Convert to fraction form
    30,823.48/46,234.62 = 7,449.64/x
  3. Step 3: Cross multiply
    30,823.48x = 46,234.62 × 7,449.64
  4. Step 4: Simplify right side
    30,823.48x = 344,431,274.54
  5. Step 5: Solve for x
    x = 344,431,274.54/30,823.48
  6. Step 6: Final answer
    x = 11,174.31

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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.