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Finding the Fourth Proportional to 30,451.20, 45,697.20 and 10,729.80

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Solution

The fourth proportional to 30,451.20, 45,697.20 and 10,729.80 is: 16,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,451.20 : 45,697.20 = 10,729.80 : x
  2. Step 2: Convert to fraction form
    30,451.20/45,697.20 = 10,729.80/x
  3. Step 3: Cross multiply
    30,451.20x = 45,697.20 × 10,729.80
  4. Step 4: Simplify right side
    30,451.20x = 490,321,816.56
  5. Step 5: Solve for x
    x = 490,321,816.56/30,451.20
  6. Step 6: Final answer
    x = 16,101.89

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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.