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Finding the Fourth Proportional to 54,750.36, 82,124.82 and 13,197

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Solution

The fourth proportional to 54,750.36, 82,124.82 and 13,197 is: 19,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,750.36 : 82,124.82 = 13,197 : x
  2. Step 2: Convert to fraction form
    54,750.36/82,124.82 = 13,197/x
  3. Step 3: Cross multiply
    54,750.36x = 82,124.82 × 13,197
  4. Step 4: Simplify right side
    54,750.36x = 1,083,801,249.54
  5. Step 5: Solve for x
    x = 1,083,801,249.54/54,750.36
  6. Step 6: Final answer
    x = 19,795.33

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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.