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Finding the Fourth Proportional to 30,058.45, 41,471.70 and 17,311.30

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Solution

The fourth proportional to 30,058.45, 41,471.70 and 17,311.30 is: 23,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,058.45 : 41,471.70 = 17,311.30 : x
  2. Step 2: Convert to fraction form
    30,058.45/41,471.70 = 17,311.30/x
  3. Step 3: Cross multiply
    30,058.45x = 41,471.70 × 17,311.30
  4. Step 4: Simplify right side
    30,058.45x = 717,929,040.21
  5. Step 5: Solve for x
    x = 717,929,040.21/30,058.45
  6. Step 6: Final answer
    x = 23,884.43

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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.