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Finding the Fourth Proportional to 77,608.76, 116,315.80 and 33,183.37

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Solution

The fourth proportional to 77,608.76, 116,315.80 and 33,183.37 is: 49,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,608.76 : 116,315.80 = 33,183.37 : x
  2. Step 2: Convert to fraction form
    77,608.76/116,315.80 = 33,183.37/x
  3. Step 3: Cross multiply
    77,608.76x = 116,315.80 × 33,183.37
  4. Step 4: Simplify right side
    77,608.76x = 3,859,749,937.46
  5. Step 5: Solve for x
    x = 3,859,749,937.46/77,608.76
  6. Step 6: Final answer
    x = 49,733.43

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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.