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Finding the Fourth Proportional to 30,778.97, 42,472.43 and 17,353.53

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Solution

The fourth proportional to 30,778.97, 42,472.43 and 17,353.53 is: 23,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.97 : 42,472.43 = 17,353.53 : x
  2. Step 2: Convert to fraction form
    30,778.97/42,472.43 = 17,353.53/x
  3. Step 3: Cross multiply
    30,778.97x = 42,472.43 × 17,353.53
  4. Step 4: Simplify right side
    30,778.97x = 737,046,289.05
  5. Step 5: Solve for x
    x = 737,046,289.05/30,778.97
  6. Step 6: Final answer
    x = 23,946.42

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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.