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Finding the Fourth Proportional to 100,127.49, 150,205.81 and 30,012.27

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Solution

The fourth proportional to 100,127.49, 150,205.81 and 30,012.27 is: 45,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,127.49 : 150,205.81 = 30,012.27 : x
  2. Step 2: Convert to fraction form
    100,127.49/150,205.81 = 30,012.27/x
  3. Step 3: Cross multiply
    100,127.49x = 150,205.81 × 30,012.27
  4. Step 4: Simplify right side
    100,127.49x = 4,508,017,325.29
  5. Step 5: Solve for x
    x = 4,508,017,325.29/100,127.49
  6. Step 6: Final answer
    x = 45,022.77

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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.