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Finding the Fourth Proportional to 36,297.80, 50,089.34 and 20,166.15

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Solution

The fourth proportional to 36,297.80, 50,089.34 and 20,166.15 is: 27,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,297.80 : 50,089.34 = 20,166.15 : x
  2. Step 2: Convert to fraction form
    36,297.80/50,089.34 = 20,166.15/x
  3. Step 3: Cross multiply
    36,297.80x = 50,089.34 × 20,166.15
  4. Step 4: Simplify right side
    36,297.80x = 1,010,108,792.56
  5. Step 5: Solve for x
    x = 1,010,108,792.56/36,297.80
  6. Step 6: Final answer
    x = 27,828.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.