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Finding the Fourth Proportional to 52,183.26, 78,256.01 and 22,199.49

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Solution

The fourth proportional to 52,183.26, 78,256.01 and 22,199.49 is: 33,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,183.26 : 78,256.01 = 22,199.49 : x
  2. Step 2: Convert to fraction form
    52,183.26/78,256.01 = 22,199.49/x
  3. Step 3: Cross multiply
    52,183.26x = 78,256.01 × 22,199.49
  4. Step 4: Simplify right side
    52,183.26x = 1,737,243,400.44
  5. Step 5: Solve for x
    x = 1,737,243,400.44/52,183.26
  6. Step 6: Final answer
    x = 33,291.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.