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Finding the Fourth Proportional to 30,138.50, 41,591.30 and 16,708.91

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Solution

The fourth proportional to 30,138.50, 41,591.30 and 16,708.91 is: 23,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.50 : 41,591.30 = 16,708.91 : x
  2. Step 2: Convert to fraction form
    30,138.50/41,591.30 = 16,708.91/x
  3. Step 3: Cross multiply
    30,138.50x = 41,591.30 × 16,708.91
  4. Step 4: Simplify right side
    30,138.50x = 694,944,996.98
  5. Step 5: Solve for x
    x = 694,944,996.98/30,138.50
  6. Step 6: Final answer
    x = 23,058.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.