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Finding the Fourth Proportional to 30,441.92, 45,667.17 and 9,383.67

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Solution

The fourth proportional to 30,441.92, 45,667.17 and 9,383.67 is: 14,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.92 : 45,667.17 = 9,383.67 : x
  2. Step 2: Convert to fraction form
    30,441.92/45,667.17 = 9,383.67/x
  3. Step 3: Cross multiply
    30,441.92x = 45,667.17 × 9,383.67
  4. Step 4: Simplify right side
    30,441.92x = 428,525,653.11
  5. Step 5: Solve for x
    x = 428,525,653.11/30,441.92
  6. Step 6: Final answer
    x = 14,076.83

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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.