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Finding the Fourth Proportional to 30,992.82, 42,768.28 and 16,845.54

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Solution

The fourth proportional to 30,992.82, 42,768.28 and 16,845.54 is: 23,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.82 : 42,768.28 = 16,845.54 : x
  2. Step 2: Convert to fraction form
    30,992.82/42,768.28 = 16,845.54/x
  3. Step 3: Cross multiply
    30,992.82x = 42,768.28 × 16,845.54
  4. Step 4: Simplify right side
    30,992.82x = 720,454,771.47
  5. Step 5: Solve for x
    x = 720,454,771.47/30,992.82
  6. Step 6: Final answer
    x = 23,245.86

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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.