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Finding the Fourth Proportional to 36,633.60, 54,917.10 and 13,243.50

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Solution

The fourth proportional to 36,633.60, 54,917.10 and 13,243.50 is: 19,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,633.60 : 54,917.10 = 13,243.50 : x
  2. Step 2: Convert to fraction form
    36,633.60/54,917.10 = 13,243.50/x
  3. Step 3: Cross multiply
    36,633.60x = 54,917.10 × 13,243.50
  4. Step 4: Simplify right side
    36,633.60x = 727,294,613.85
  5. Step 5: Solve for x
    x = 727,294,613.85/36,633.60
  6. Step 6: Final answer
    x = 19,853.21

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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.