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Finding the Fourth Proportional to 30,408.87, 41,962.15 and 16,796.31

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Solution

The fourth proportional to 30,408.87, 41,962.15 and 16,796.31 is: 23,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408.87 : 41,962.15 = 16,796.31 : x
  2. Step 2: Convert to fraction form
    30,408.87/41,962.15 = 16,796.31/x
  3. Step 3: Cross multiply
    30,408.87x = 41,962.15 × 16,796.31
  4. Step 4: Simplify right side
    30,408.87x = 704,809,379.34
  5. Step 5: Solve for x
    x = 704,809,379.34/30,408.87
  6. Step 6: Final answer
    x = 23,177.76

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1.5x scale

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.