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Finding the Fourth Proportional to 70,905.92, 106,400.22 and 26,563.82

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Solution

The fourth proportional to 70,905.92, 106,400.22 and 26,563.82 is: 39,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,905.92 : 106,400.22 = 26,563.82 : x
  2. Step 2: Convert to fraction form
    70,905.92/106,400.22 = 26,563.82/x
  3. Step 3: Cross multiply
    70,905.92x = 106,400.22 × 26,563.82
  4. Step 4: Simplify right side
    70,905.92x = 2,826,395,660.42
  5. Step 5: Solve for x
    x = 2,826,395,660.42/70,905.92
  6. Step 6: Final answer
    x = 39,861.21

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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.