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Finding the Fourth Proportional to 28,786.50, 43,161.20 and 12,142.08

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Solution

The fourth proportional to 28,786.50, 43,161.20 and 12,142.08 is: 18,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,786.50 : 43,161.20 = 12,142.08 : x
  2. Step 2: Convert to fraction form
    28,786.50/43,161.20 = 12,142.08/x
  3. Step 3: Cross multiply
    28,786.50x = 43,161.20 × 12,142.08
  4. Step 4: Simplify right side
    28,786.50x = 524,066,682.59
  5. Step 5: Solve for x
    x = 524,066,682.59/28,786.50
  6. Step 6: Final answer
    x = 18,205.29

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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.