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Finding the Fourth Proportional to 54,788.33, 82,186.14 and 19,245.33

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Solution

The fourth proportional to 54,788.33, 82,186.14 and 19,245.33 is: 28,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,788.33 : 82,186.14 = 19,245.33 : x
  2. Step 2: Convert to fraction form
    54,788.33/82,186.14 = 19,245.33/x
  3. Step 3: Cross multiply
    54,788.33x = 82,186.14 × 19,245.33
  4. Step 4: Simplify right side
    54,788.33x = 1,581,699,385.73
  5. Step 5: Solve for x
    x = 1,581,699,385.73/54,788.33
  6. Step 6: Final answer
    x = 28,869.28

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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.