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Finding the Fourth Proportional to 30,770.43, 42,462.60 and 17,341.41

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Solution

The fourth proportional to 30,770.43, 42,462.60 and 17,341.41 is: 23,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.43 : 42,462.60 = 17,341.41 : x
  2. Step 2: Convert to fraction form
    30,770.43/42,462.60 = 17,341.41/x
  3. Step 3: Cross multiply
    30,770.43x = 42,462.60 × 17,341.41
  4. Step 4: Simplify right side
    30,770.43x = 736,361,269.56
  5. Step 5: Solve for x
    x = 736,361,269.56/30,770.43
  6. Step 6: Final answer
    x = 23,930.81

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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.