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Finding the Fourth Proportional to 30,168.76, 41,633.84 and 16,741

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Solution

The fourth proportional to 30,168.76, 41,633.84 and 16,741 is: 23,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168.76 : 41,633.84 = 16,741 : x
  2. Step 2: Convert to fraction form
    30,168.76/41,633.84 = 16,741/x
  3. Step 3: Cross multiply
    30,168.76x = 41,633.84 × 16,741
  4. Step 4: Simplify right side
    30,168.76x = 696,992,115.44
  5. Step 5: Solve for x
    x = 696,992,115.44/30,168.76
  6. Step 6: Final answer
    x = 23,103.11

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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.