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Finding the Fourth Proportional to 33,978.96, 46,836 and 25,350.48

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Solution

The fourth proportional to 33,978.96, 46,836 and 25,350.48 is: 34,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.96 : 46,836 = 25,350.48 : x
  2. Step 2: Convert to fraction form
    33,978.96/46,836 = 25,350.48/x
  3. Step 3: Cross multiply
    33,978.96x = 46,836 × 25,350.48
  4. Step 4: Simplify right side
    33,978.96x = 1,187,315,081.28
  5. Step 5: Solve for x
    x = 1,187,315,081.28/33,978.96
  6. Step 6: Final answer
    x = 34,942.66

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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.