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Finding the Fourth Proportional to 37,612.14, 51,904.92 and 20,845.14

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Solution

The fourth proportional to 37,612.14, 51,904.92 and 20,845.14 is: 28,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,612.14 : 51,904.92 = 20,845.14 : x
  2. Step 2: Convert to fraction form
    37,612.14/51,904.92 = 20,845.14/x
  3. Step 3: Cross multiply
    37,612.14x = 51,904.92 × 20,845.14
  4. Step 4: Simplify right side
    37,612.14x = 1,081,965,324.09
  5. Step 5: Solve for x
    x = 1,081,965,324.09/37,612.14
  6. Step 6: Final answer
    x = 28,766.39

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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.