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Finding the Fourth Proportional to 77,512.50, 116,269.83 and 22,108.50

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Solution

The fourth proportional to 77,512.50, 116,269.83 and 22,108.50 is: 33,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,512.50 : 116,269.83 = 22,108.50 : x
  2. Step 2: Convert to fraction form
    77,512.50/116,269.83 = 22,108.50/x
  3. Step 3: Cross multiply
    77,512.50x = 116,269.83 × 22,108.50
  4. Step 4: Simplify right side
    77,512.50x = 2,570,551,536.56
  5. Step 5: Solve for x
    x = 2,570,551,536.56/77,512.50
  6. Step 6: Final answer
    x = 33,163.06

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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.