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Finding the Fourth Proportional to 70,716.48, 106,092 and 23,969.76

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Solution

The fourth proportional to 70,716.48, 106,092 and 23,969.76 is: 35,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,716.48 : 106,092 = 23,969.76 : x
  2. Step 2: Convert to fraction form
    70,716.48/106,092 = 23,969.76/x
  3. Step 3: Cross multiply
    70,716.48x = 106,092 × 23,969.76
  4. Step 4: Simplify right side
    70,716.48x = 2,542,999,777.92
  5. Step 5: Solve for x
    x = 2,542,999,777.92/70,716.48
  6. Step 6: Final answer
    x = 35,960.50

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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.