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Finding the Fourth Proportional to 30,823.54, 46,235.43 and 7,449.94

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Solution

The fourth proportional to 30,823.54, 46,235.43 and 7,449.94 is: 11,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.54 : 46,235.43 = 7,449.94 : x
  2. Step 2: Convert to fraction form
    30,823.54/46,235.43 = 7,449.94/x
  3. Step 3: Cross multiply
    30,823.54x = 46,235.43 × 7,449.94
  4. Step 4: Simplify right side
    30,823.54x = 344,451,179.37
  5. Step 5: Solve for x
    x = 344,451,179.37/30,823.54
  6. Step 6: Final answer
    x = 11,174.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.