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Finding the Fourth Proportional to 30,823.34, 46,245.33 and 9,766.78

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Solution

The fourth proportional to 30,823.34, 46,245.33 and 9,766.78 is: 14,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.34 : 46,245.33 = 9,766.78 : x
  2. Step 2: Convert to fraction form
    30,823.34/46,245.33 = 9,766.78/x
  3. Step 3: Cross multiply
    30,823.34x = 46,245.33 × 9,766.78
  4. Step 4: Simplify right side
    30,823.34x = 451,667,848.52
  5. Step 5: Solve for x
    x = 451,667,848.52/30,823.34
  6. Step 6: Final answer
    x = 14,653.44

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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.