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Finding the Fourth Proportional to 30,776.94, 42,469.11 and 18,843.66

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Solution

The fourth proportional to 30,776.94, 42,469.11 and 18,843.66 is: 26,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.94 : 42,469.11 = 18,843.66 : x
  2. Step 2: Convert to fraction form
    30,776.94/42,469.11 = 18,843.66/x
  3. Step 3: Cross multiply
    30,776.94x = 42,469.11 × 18,843.66
  4. Step 4: Simplify right side
    30,776.94x = 800,273,469.34
  5. Step 5: Solve for x
    x = 800,273,469.34/30,776.94
  6. Step 6: Final answer
    x = 26,002.37

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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.