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Finding the Fourth Proportional to 48,015.40, 71,984.70 and 20,290.60

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Solution

The fourth proportional to 48,015.40, 71,984.70 and 20,290.60 is: 30,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,015.40 : 71,984.70 = 20,290.60 : x
  2. Step 2: Convert to fraction form
    48,015.40/71,984.70 = 20,290.60/x
  3. Step 3: Cross multiply
    48,015.40x = 71,984.70 × 20,290.60
  4. Step 4: Simplify right side
    48,015.40x = 1,460,612,753.82
  5. Step 5: Solve for x
    x = 1,460,612,753.82/48,015.40
  6. Step 6: Final answer
    x = 30,419.67

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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.