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Finding the Fourth Proportional to 36,042.70, 54,072.48 and 12,350.50

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Solution

The fourth proportional to 36,042.70, 54,072.48 and 12,350.50 is: 18,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,042.70 : 54,072.48 = 12,350.50 : x
  2. Step 2: Convert to fraction form
    36,042.70/54,072.48 = 12,350.50/x
  3. Step 3: Cross multiply
    36,042.70x = 54,072.48 × 12,350.50
  4. Step 4: Simplify right side
    36,042.70x = 667,822,164.24
  5. Step 5: Solve for x
    x = 667,822,164.24/36,042.70
  6. Step 6: Final answer
    x = 18,528.64

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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.