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Finding the Fourth Proportional to 54,786.48, 82,179.84 and 13,233.48

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Solution

The fourth proportional to 54,786.48, 82,179.84 and 13,233.48 is: 19,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,786.48 : 82,179.84 = 13,233.48 : x
  2. Step 2: Convert to fraction form
    54,786.48/82,179.84 = 13,233.48/x
  3. Step 3: Cross multiply
    54,786.48x = 82,179.84 × 13,233.48
  4. Step 4: Simplify right side
    54,786.48x = 1,087,525,269.04
  5. Step 5: Solve for x
    x = 1,087,525,269.04/54,786.48
  6. Step 6: Final answer
    x = 19,850.25

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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.