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Finding the Fourth Proportional to 27,871.50, 41,813.73 and 20,066.34

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Solution

The fourth proportional to 27,871.50, 41,813.73 and 20,066.34 is: 30,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.50 : 41,813.73 = 20,066.34 : x
  2. Step 2: Convert to fraction form
    27,871.50/41,813.73 = 20,066.34/x
  3. Step 3: Cross multiply
    27,871.50x = 41,813.73 × 20,066.34
  4. Step 4: Simplify right side
    27,871.50x = 839,048,522.85
  5. Step 5: Solve for x
    x = 839,048,522.85/27,871.50
  6. Step 6: Final answer
    x = 30,104.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.