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Finding the Fourth Proportional to 37,081.36, 51,172.32 and 20,314

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Solution

The fourth proportional to 37,081.36, 51,172.32 and 20,314 is: 28,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,081.36 : 51,172.32 = 20,314 : x
  2. Step 2: Convert to fraction form
    37,081.36/51,172.32 = 20,314/x
  3. Step 3: Cross multiply
    37,081.36x = 51,172.32 × 20,314
  4. Step 4: Simplify right side
    37,081.36x = 1,039,514,508.48
  5. Step 5: Solve for x
    x = 1,039,514,508.48/37,081.36
  6. Step 6: Final answer
    x = 28,033.34

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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.