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Finding the Fourth Proportional to 77,500.50, 116,251.83 and 22,096.50

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Solution

The fourth proportional to 77,500.50, 116,251.83 and 22,096.50 is: 33,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,500.50 : 116,251.83 = 22,096.50 : x
  2. Step 2: Convert to fraction form
    77,500.50/116,251.83 = 22,096.50/x
  3. Step 3: Cross multiply
    77,500.50x = 116,251.83 × 22,096.50
  4. Step 4: Simplify right side
    77,500.50x = 2,568,758,561.60
  5. Step 5: Solve for x
    x = 2,568,758,561.60/77,500.50
  6. Step 6: Final answer
    x = 33,145.06

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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.