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Finding the Fourth Proportional to 27,212.80, 40,819.20 and 24,005.20

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Solution

The fourth proportional to 27,212.80, 40,819.20 and 24,005.20 is: 36,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,212.80 : 40,819.20 = 24,005.20 : x
  2. Step 2: Convert to fraction form
    27,212.80/40,819.20 = 24,005.20/x
  3. Step 3: Cross multiply
    27,212.80x = 40,819.20 × 24,005.20
  4. Step 4: Simplify right side
    27,212.80x = 979,873,059.84
  5. Step 5: Solve for x
    x = 979,873,059.84/27,212.80
  6. Step 6: Final answer
    x = 36,007.80

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