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Finding the Fourth Proportional to 30,584.57, 45,864.36 and 11,861.01

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Solution

The fourth proportional to 30,584.57, 45,864.36 and 11,861.01 is: 17,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.57 : 45,864.36 = 11,861.01 : x
  2. Step 2: Convert to fraction form
    30,584.57/45,864.36 = 11,861.01/x
  3. Step 3: Cross multiply
    30,584.57x = 45,864.36 × 11,861.01
  4. Step 4: Simplify right side
    30,584.57x = 543,997,632.60
  5. Step 5: Solve for x
    x = 543,997,632.60/30,584.57
  6. Step 6: Final answer
    x = 17,786.67

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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.