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Finding the Fourth Proportional to 30,661.34, 42,310.03 and 17,231.54

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Solution

The fourth proportional to 30,661.34, 42,310.03 and 17,231.54 is: 23,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.34 : 42,310.03 = 17,231.54 : x
  2. Step 2: Convert to fraction form
    30,661.34/42,310.03 = 17,231.54/x
  3. Step 3: Cross multiply
    30,661.34x = 42,310.03 × 17,231.54
  4. Step 4: Simplify right side
    30,661.34x = 729,066,974.35
  5. Step 5: Solve for x
    x = 729,066,974.35/30,661.34
  6. Step 6: Final answer
    x = 23,778.05

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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.