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Finding the Fourth Proportional to 30,771.43, 42,463.97 and 17,342.41

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Solution

The fourth proportional to 30,771.43, 42,463.97 and 17,342.41 is: 23,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.43 : 42,463.97 = 17,342.41 : x
  2. Step 2: Convert to fraction form
    30,771.43/42,463.97 = 17,342.41/x
  3. Step 3: Cross multiply
    30,771.43x = 42,463.97 × 17,342.41
  4. Step 4: Simplify right side
    30,771.43x = 736,427,577.97
  5. Step 5: Solve for x
    x = 736,427,577.97/30,771.43
  6. Step 6: Final answer
    x = 23,932.19

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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.