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Finding the Fourth Proportional to 54,951.81, 82,427.50 and 19,883.26

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Solution

The fourth proportional to 54,951.81, 82,427.50 and 19,883.26 is: 29,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.81 : 82,427.50 = 19,883.26 : x
  2. Step 2: Convert to fraction form
    54,951.81/82,427.50 = 19,883.26/x
  3. Step 3: Cross multiply
    54,951.81x = 82,427.50 × 19,883.26
  4. Step 4: Simplify right side
    54,951.81x = 1,638,927,413.65
  5. Step 5: Solve for x
    x = 1,638,927,413.65/54,951.81
  6. Step 6: Final answer
    x = 29,824.81

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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.