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Finding the Fourth Proportional to 37,243.54, 55,853.44 and 12,278.94

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Solution

The fourth proportional to 37,243.54, 55,853.44 and 12,278.94 is: 18,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,243.54 : 55,853.44 = 12,278.94 : x
  2. Step 2: Convert to fraction form
    37,243.54/55,853.44 = 12,278.94/x
  3. Step 3: Cross multiply
    37,243.54x = 55,853.44 × 12,278.94
  4. Step 4: Simplify right side
    37,243.54x = 685,821,038.55
  5. Step 5: Solve for x
    x = 685,821,038.55/37,243.54
  6. Step 6: Final answer
    x = 18,414.50

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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.