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Finding the Fourth Proportional to 52,851.60, 79,222.23 and 27,919.80

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Solution

The fourth proportional to 52,851.60, 79,222.23 and 27,919.80 is: 41,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,851.60 : 79,222.23 = 27,919.80 : x
  2. Step 2: Convert to fraction form
    52,851.60/79,222.23 = 27,919.80/x
  3. Step 3: Cross multiply
    52,851.60x = 79,222.23 × 27,919.80
  4. Step 4: Simplify right side
    52,851.60x = 2,211,868,817.15
  5. Step 5: Solve for x
    x = 2,211,868,817.15/52,851.60
  6. Step 6: Final answer
    x = 41,850.56

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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.