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Finding the Fourth Proportional to 30,771.20, 42,992.20 and 30,771.20

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Solution

The fourth proportional to 30,771.20, 42,992.20 and 30,771.20 is: 42,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.20 : 42,992.20 = 30,771.20 : x
  2. Step 2: Convert to fraction form
    30,771.20/42,992.20 = 30,771.20/x
  3. Step 3: Cross multiply
    30,771.20x = 42,992.20 × 30,771.20
  4. Step 4: Simplify right side
    30,771.20x = 1,322,921,584.64
  5. Step 5: Solve for x
    x = 1,322,921,584.64/30,771.20
  6. Step 6: Final answer
    x = 42,992.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.