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Finding the Fourth Proportional to 54,876.33, 82,257.99 and 21,582.90

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Solution

The fourth proportional to 54,876.33, 82,257.99 and 21,582.90 is: 32,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876.33 : 82,257.99 = 21,582.90 : x
  2. Step 2: Convert to fraction form
    54,876.33/82,257.99 = 21,582.90/x
  3. Step 3: Cross multiply
    54,876.33x = 82,257.99 × 21,582.90
  4. Step 4: Simplify right side
    54,876.33x = 1,775,365,972.37
  5. Step 5: Solve for x
    x = 1,775,365,972.37/54,876.33
  6. Step 6: Final answer
    x = 32,352.13

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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.