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Finding the Fourth Proportional to 77,627.48, 116,343.78 and 33,202

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Solution

The fourth proportional to 77,627.48, 116,343.78 and 33,202 is: 49,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,627.48 : 116,343.78 = 33,202 : x
  2. Step 2: Convert to fraction form
    77,627.48/116,343.78 = 33,202/x
  3. Step 3: Cross multiply
    77,627.48x = 116,343.78 × 33,202
  4. Step 4: Simplify right side
    77,627.48x = 3,862,846,183.56
  5. Step 5: Solve for x
    x = 3,862,846,183.56/77,627.48
  6. Step 6: Final answer
    x = 49,761.32

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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.