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Finding the Fourth Proportional to 54,133, 81,212.52 and 17,197

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Solution

The fourth proportional to 54,133, 81,212.52 and 17,197 is: 25,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,133 : 81,212.52 = 17,197 : x
  2. Step 2: Convert to fraction form
    54,133/81,212.52 = 17,197/x
  3. Step 3: Cross multiply
    54,133x = 81,212.52 × 17,197
  4. Step 4: Simplify right side
    54,133x = 1,396,611,706.44
  5. Step 5: Solve for x
    x = 1,396,611,706.44/54,133
  6. Step 6: Final answer
    x = 25,799.64

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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.