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Finding the Fourth Proportional to 41,777.52, 57,645 and 23,878.20

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Solution

The fourth proportional to 41,777.52, 57,645 and 23,878.20 is: 32,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,777.52 : 57,645 = 23,878.20 : x
  2. Step 2: Convert to fraction form
    41,777.52/57,645 = 23,878.20/x
  3. Step 3: Cross multiply
    41,777.52x = 57,645 × 23,878.20
  4. Step 4: Simplify right side
    41,777.52x = 1,376,458,839
  5. Step 5: Solve for x
    x = 1,376,458,839/41,777.52
  6. Step 6: Final answer
    x = 32,947.36

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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.