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Finding the Fourth Proportional to 68,856.76, 103,289.84 and 22,106.80

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Solution

The fourth proportional to 68,856.76, 103,289.84 and 22,106.80 is: 33,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,856.76 : 103,289.84 = 22,106.80 : x
  2. Step 2: Convert to fraction form
    68,856.76/103,289.84 = 22,106.80/x
  3. Step 3: Cross multiply
    68,856.76x = 103,289.84 × 22,106.80
  4. Step 4: Simplify right side
    68,856.76x = 2,283,407,834.91
  5. Step 5: Solve for x
    x = 2,283,407,834.91/68,856.76
  6. Step 6: Final answer
    x = 33,161.71

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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.