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Finding the Fourth Proportional to 50,728.72, 76,109.26 and 21,149.68

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Solution

The fourth proportional to 50,728.72, 76,109.26 and 21,149.68 is: 31,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,728.72 : 76,109.26 = 21,149.68 : x
  2. Step 2: Convert to fraction form
    50,728.72/76,109.26 = 21,149.68/x
  3. Step 3: Cross multiply
    50,728.72x = 76,109.26 × 21,149.68
  4. Step 4: Simplify right side
    50,728.72x = 1,609,686,494.04
  5. Step 5: Solve for x
    x = 1,609,686,494.04/50,728.72
  6. Step 6: Final answer
    x = 31,731.27

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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.