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Finding the Fourth Proportional to 38,096.78, 57,087.76 and 33,944.21

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Solution

The fourth proportional to 38,096.78, 57,087.76 and 33,944.21 is: 50,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096.78 : 57,087.76 = 33,944.21 : x
  2. Step 2: Convert to fraction form
    38,096.78/57,087.76 = 33,944.21/x
  3. Step 3: Cross multiply
    38,096.78x = 57,087.76 × 33,944.21
  4. Step 4: Simplify right side
    38,096.78x = 1,937,799,237.88
  5. Step 5: Solve for x
    x = 1,937,799,237.88/38,096.78
  6. Step 6: Final answer
    x = 50,865.17

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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.