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Finding the Fourth Proportional to 30,178.28, 45,249.78 and 9,112.03

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Solution

The fourth proportional to 30,178.28, 45,249.78 and 9,112.03 is: 13,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.28 : 45,249.78 = 9,112.03 : x
  2. Step 2: Convert to fraction form
    30,178.28/45,249.78 = 9,112.03/x
  3. Step 3: Cross multiply
    30,178.28x = 45,249.78 × 9,112.03
  4. Step 4: Simplify right side
    30,178.28x = 412,317,352.85
  5. Step 5: Solve for x
    x = 412,317,352.85/30,178.28
  6. Step 6: Final answer
    x = 13,662.72

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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.