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Finding the Fourth Proportional to 30,517.96, 42,113.50 and 17,771.48

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Solution

The fourth proportional to 30,517.96, 42,113.50 and 17,771.48 is: 24,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,517.96 : 42,113.50 = 17,771.48 : x
  2. Step 2: Convert to fraction form
    30,517.96/42,113.50 = 17,771.48/x
  3. Step 3: Cross multiply
    30,517.96x = 42,113.50 × 17,771.48
  4. Step 4: Simplify right side
    30,517.96x = 748,419,222.98
  5. Step 5: Solve for x
    x = 748,419,222.98/30,517.96
  6. Step 6: Final answer
    x = 24,523.89

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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.