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Finding the Fourth Proportional to 54,819.25, 82,229.28 and 13,266.25

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Solution

The fourth proportional to 54,819.25, 82,229.28 and 13,266.25 is: 19,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,819.25 : 82,229.28 = 13,266.25 : x
  2. Step 2: Convert to fraction form
    54,819.25/82,229.28 = 13,266.25/x
  3. Step 3: Cross multiply
    54,819.25x = 82,229.28 × 13,266.25
  4. Step 4: Simplify right side
    54,819.25x = 1,090,874,185.80
  5. Step 5: Solve for x
    x = 1,090,874,185.80/54,819.25
  6. Step 6: Final answer
    x = 19,899.47

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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.