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Finding the Fourth Proportional to 70,163.92, 105,211.77 and 23,401

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Solution

The fourth proportional to 70,163.92, 105,211.77 and 23,401 is: 35,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,163.92 : 105,211.77 = 23,401 : x
  2. Step 2: Convert to fraction form
    70,163.92/105,211.77 = 23,401/x
  3. Step 3: Cross multiply
    70,163.92x = 105,211.77 × 23,401
  4. Step 4: Simplify right side
    70,163.92x = 2,462,060,629.77
  5. Step 5: Solve for x
    x = 2,462,060,629.77/70,163.92
  6. Step 6: Final answer
    x = 35,090.12

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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.