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Finding the Fourth Proportional to 67,307.64, 100,961.46 and 22,911.54

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Solution

The fourth proportional to 67,307.64, 100,961.46 and 22,911.54 is: 34,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,307.64 : 100,961.46 = 22,911.54 : x
  2. Step 2: Convert to fraction form
    67,307.64/100,961.46 = 22,911.54/x
  3. Step 3: Cross multiply
    67,307.64x = 100,961.46 × 22,911.54
  4. Step 4: Simplify right side
    67,307.64x = 2,313,182,529.25
  5. Step 5: Solve for x
    x = 2,313,182,529.25/67,307.64
  6. Step 6: Final answer
    x = 34,367.31

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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.