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Finding the Fourth Proportional to 54,788.50, 75,608.22 and 29,638

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Solution

The fourth proportional to 54,788.50, 75,608.22 and 29,638 is: 40,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,788.50 : 75,608.22 = 29,638 : x
  2. Step 2: Convert to fraction form
    54,788.50/75,608.22 = 29,638/x
  3. Step 3: Cross multiply
    54,788.50x = 75,608.22 × 29,638
  4. Step 4: Simplify right side
    54,788.50x = 2,240,876,424.36
  5. Step 5: Solve for x
    x = 2,240,876,424.36/54,788.50
  6. Step 6: Final answer
    x = 40,900.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.