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Finding the Fourth Proportional to 70,997.38, 106,464.86 and 26,593

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Solution

The fourth proportional to 70,997.38, 106,464.86 and 26,593 is: 39,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,997.38 : 106,464.86 = 26,593 : x
  2. Step 2: Convert to fraction form
    70,997.38/106,464.86 = 26,593/x
  3. Step 3: Cross multiply
    70,997.38x = 106,464.86 × 26,593
  4. Step 4: Simplify right side
    70,997.38x = 2,831,220,021.98
  5. Step 5: Solve for x
    x = 2,831,220,021.98/70,997.38
  6. Step 6: Final answer
    x = 39,877.81

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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.