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Finding the Fourth Proportional to 37,138.28, 51,257.38 and 22,039.27

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Solution

The fourth proportional to 37,138.28, 51,257.38 and 22,039.27 is: 30,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138.28 : 51,257.38 = 22,039.27 : x
  2. Step 2: Convert to fraction form
    37,138.28/51,257.38 = 22,039.27/x
  3. Step 3: Cross multiply
    37,138.28x = 51,257.38 × 22,039.27
  4. Step 4: Simplify right side
    37,138.28x = 1,129,674,870.83
  5. Step 5: Solve for x
    x = 1,129,674,870.83/37,138.28
  6. Step 6: Final answer
    x = 30,418.07

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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.