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Finding the Fourth Proportional to 30,289.66, 45,431.28 and 8,105.28

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Solution

The fourth proportional to 30,289.66, 45,431.28 and 8,105.28 is: 12,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289.66 : 45,431.28 = 8,105.28 : x
  2. Step 2: Convert to fraction form
    30,289.66/45,431.28 = 8,105.28/x
  3. Step 3: Cross multiply
    30,289.66x = 45,431.28 × 8,105.28
  4. Step 4: Simplify right side
    30,289.66x = 368,233,138.68
  5. Step 5: Solve for x
    x = 368,233,138.68/30,289.66
  6. Step 6: Final answer
    x = 12,157.06

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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.