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Finding the Fourth Proportional to 30,614.40, 45,910.80 and 13,982.40

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Solution

The fourth proportional to 30,614.40, 45,910.80 and 13,982.40 is: 20,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.40 : 45,910.80 = 13,982.40 : x
  2. Step 2: Convert to fraction form
    30,614.40/45,910.80 = 13,982.40/x
  3. Step 3: Cross multiply
    30,614.40x = 45,910.80 × 13,982.40
  4. Step 4: Simplify right side
    30,614.40x = 641,943,169.92
  5. Step 5: Solve for x
    x = 641,943,169.92/30,614.40
  6. Step 6: Final answer
    x = 20,968.67

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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.