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Finding the Fourth Proportional to 30,797.60, 42,679.22 and 30,206.96

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Solution

The fourth proportional to 30,797.60, 42,679.22 and 30,206.96 is: 41,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.60 : 42,679.22 = 30,206.96 : x
  2. Step 2: Convert to fraction form
    30,797.60/42,679.22 = 30,206.96/x
  3. Step 3: Cross multiply
    30,797.60x = 42,679.22 × 30,206.96
  4. Step 4: Simplify right side
    30,797.60x = 1,289,209,491.37
  5. Step 5: Solve for x
    x = 1,289,209,491.37/30,797.60
  6. Step 6: Final answer
    x = 41,860.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.