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Finding the Fourth Proportional to 30,276.36, 45,414.66 and 8,089.80

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Solution

The fourth proportional to 30,276.36, 45,414.66 and 8,089.80 is: 12,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.36 : 45,414.66 = 8,089.80 : x
  2. Step 2: Convert to fraction form
    30,276.36/45,414.66 = 8,089.80/x
  3. Step 3: Cross multiply
    30,276.36x = 45,414.66 × 8,089.80
  4. Step 4: Simplify right side
    30,276.36x = 367,395,516.47
  5. Step 5: Solve for x
    x = 367,395,516.47/30,276.36
  6. Step 6: Final answer
    x = 12,134.73

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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.