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Finding the Fourth Proportional to 30,282.42, 41,766.03 and 19,675.50

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Solution

The fourth proportional to 30,282.42, 41,766.03 and 19,675.50 is: 27,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.42 : 41,766.03 = 19,675.50 : x
  2. Step 2: Convert to fraction form
    30,282.42/41,766.03 = 19,675.50/x
  3. Step 3: Cross multiply
    30,282.42x = 41,766.03 × 19,675.50
  4. Step 4: Simplify right side
    30,282.42x = 821,767,523.27
  5. Step 5: Solve for x
    x = 821,767,523.27/30,282.42
  6. Step 6: Final answer
    x = 27,136.79

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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.