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Finding the Fourth Proportional to 30,324.96, 41,865.78 and 20,270.46

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Solution

The fourth proportional to 30,324.96, 41,865.78 and 20,270.46 is: 27,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324.96 : 41,865.78 = 20,270.46 : x
  2. Step 2: Convert to fraction form
    30,324.96/41,865.78 = 20,270.46/x
  3. Step 3: Cross multiply
    30,324.96x = 41,865.78 × 20,270.46
  4. Step 4: Simplify right side
    30,324.96x = 848,638,618.86
  5. Step 5: Solve for x
    x = 848,638,618.86/30,324.96
  6. Step 6: Final answer
    x = 27,984.82

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