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Finding the Fourth Proportional to 30,794.62, 42,503.37 and 20,020.74

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Solution

The fourth proportional to 30,794.62, 42,503.37 and 20,020.74 is: 27,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.62 : 42,503.37 = 20,020.74 : x
  2. Step 2: Convert to fraction form
    30,794.62/42,503.37 = 20,020.74/x
  3. Step 3: Cross multiply
    30,794.62x = 42,503.37 × 20,020.74
  4. Step 4: Simplify right side
    30,794.62x = 850,948,919.89
  5. Step 5: Solve for x
    x = 850,948,919.89/30,794.62
  6. Step 6: Final answer
    x = 27,633.04

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