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Finding the Fourth Proportional to 54,849, 82,273.98 and 13,296

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Solution

The fourth proportional to 54,849, 82,273.98 and 13,296 is: 19,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,849 : 82,273.98 = 13,296 : x
  2. Step 2: Convert to fraction form
    54,849/82,273.98 = 13,296/x
  3. Step 3: Cross multiply
    54,849x = 82,273.98 × 13,296
  4. Step 4: Simplify right side
    54,849x = 1,093,914,838.08
  5. Step 5: Solve for x
    x = 1,093,914,838.08/54,849
  6. Step 6: Final answer
    x = 19,944.12

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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.