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Finding the Fourth Proportional to 12,032.99, 18,048.11 and 3,149.18

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Solution

The fourth proportional to 12,032.99, 18,048.11 and 3,149.18 is: 4,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.99 : 18,048.11 = 3,149.18 : x
  2. Step 2: Convert to fraction form
    12,032.99/18,048.11 = 3,149.18/x
  3. Step 3: Cross multiply
    12,032.99x = 18,048.11 × 3,149.18
  4. Step 4: Simplify right side
    12,032.99x = 56,836,759.50
  5. Step 5: Solve for x
    x = 56,836,759.50/12,032.99
  6. Step 6: Final answer
    x = 4,723.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.