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Finding the Fourth Proportional to 28,233.82, 42,350.91 and 8,512.30

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Solution

The fourth proportional to 28,233.82, 42,350.91 and 8,512.30 is: 12,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,233.82 : 42,350.91 = 8,512.30 : x
  2. Step 2: Convert to fraction form
    28,233.82/42,350.91 = 8,512.30/x
  3. Step 3: Cross multiply
    28,233.82x = 42,350.91 × 8,512.30
  4. Step 4: Simplify right side
    28,233.82x = 360,503,651.19
  5. Step 5: Solve for x
    x = 360,503,651.19/28,233.82
  6. Step 6: Final answer
    x = 12,768.50

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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.