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Finding the Fourth Proportional to 30,219.60, 45,311.67 and 9,153.30

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Solution

The fourth proportional to 30,219.60, 45,311.67 and 9,153.30 is: 13,724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.60 : 45,311.67 = 9,153.30 : x
  2. Step 2: Convert to fraction form
    30,219.60/45,311.67 = 9,153.30/x
  3. Step 3: Cross multiply
    30,219.60x = 45,311.67 × 9,153.30
  4. Step 4: Simplify right side
    30,219.60x = 414,751,309.01
  5. Step 5: Solve for x
    x = 414,751,309.01/30,219.60
  6. Step 6: Final answer
    x = 13,724.58

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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.