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Finding the Fourth Proportional to 30,992.89, 42,771.21 and 18,243.76

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Solution

The fourth proportional to 30,992.89, 42,771.21 and 18,243.76 is: 25,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.89 : 42,771.21 = 18,243.76 : x
  2. Step 2: Convert to fraction form
    30,992.89/42,771.21 = 18,243.76/x
  3. Step 3: Cross multiply
    30,992.89x = 42,771.21 × 18,243.76
  4. Step 4: Simplify right side
    30,992.89x = 780,307,690.15
  5. Step 5: Solve for x
    x = 780,307,690.15/30,992.89
  6. Step 6: Final answer
    x = 25,176.99

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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.