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Finding the Fourth Proportional to 54,450.92, 81,624.54 and 17,489

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Solution

The fourth proportional to 54,450.92, 81,624.54 and 17,489 is: 26,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,450.92 : 81,624.54 = 17,489 : x
  2. Step 2: Convert to fraction form
    54,450.92/81,624.54 = 17,489/x
  3. Step 3: Cross multiply
    54,450.92x = 81,624.54 × 17,489
  4. Step 4: Simplify right side
    54,450.92x = 1,427,531,580.06
  5. Step 5: Solve for x
    x = 1,427,531,580.06/54,450.92
  6. Step 6: Final answer
    x = 26,216.85

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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.