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Finding the Fourth Proportional to 54,226.80, 81,342.72 and 19,170

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Solution

The fourth proportional to 54,226.80, 81,342.72 and 19,170 is: 28,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,226.80 : 81,342.72 = 19,170 : x
  2. Step 2: Convert to fraction form
    54,226.80/81,342.72 = 19,170/x
  3. Step 3: Cross multiply
    54,226.80x = 81,342.72 × 19,170
  4. Step 4: Simplify right side
    54,226.80x = 1,559,339,942.40
  5. Step 5: Solve for x
    x = 1,559,339,942.40/54,226.80
  6. Step 6: Final answer
    x = 28,755.89

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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.