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Finding the Fourth Proportional to 54,819, 82,241.50 and 17,883

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Solution

The fourth proportional to 54,819, 82,241.50 and 17,883 is: 26,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,819 : 82,241.50 = 17,883 : x
  2. Step 2: Convert to fraction form
    54,819/82,241.50 = 17,883/x
  3. Step 3: Cross multiply
    54,819x = 82,241.50 × 17,883
  4. Step 4: Simplify right side
    54,819x = 1,470,724,744.50
  5. Step 5: Solve for x
    x = 1,470,724,744.50/54,819
  6. Step 6: Final answer
    x = 26,828.74

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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.