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Finding the Fourth Proportional to 30,796.27, 42,498 and 17,367.43

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Solution

The fourth proportional to 30,796.27, 42,498 and 17,367.43 is: 23,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.27 : 42,498 = 17,367.43 : x
  2. Step 2: Convert to fraction form
    30,796.27/42,498 = 17,367.43/x
  3. Step 3: Cross multiply
    30,796.27x = 42,498 × 17,367.43
  4. Step 4: Simplify right side
    30,796.27x = 738,081,040.14
  5. Step 5: Solve for x
    x = 738,081,040.14/30,796.27
  6. Step 6: Final answer
    x = 23,966.57

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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.