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Finding the Fourth Proportional to 54,583.78, 81,870.96 and 33,230.94

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Solution

The fourth proportional to 54,583.78, 81,870.96 and 33,230.94 is: 49,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,583.78 : 81,870.96 = 33,230.94 : x
  2. Step 2: Convert to fraction form
    54,583.78/81,870.96 = 33,230.94/x
  3. Step 3: Cross multiply
    54,583.78x = 81,870.96 × 33,230.94
  4. Step 4: Simplify right side
    54,583.78x = 2,720,648,959.50
  5. Step 5: Solve for x
    x = 2,720,648,959.50/54,583.78
  6. Step 6: Final answer
    x = 49,843.54

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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.