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Finding the Fourth Proportional to 70,694.88, 106,014.24 and 31,224

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Solution

The fourth proportional to 70,694.88, 106,014.24 and 31,224 is: 46,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,694.88 : 106,014.24 = 31,224 : x
  2. Step 2: Convert to fraction form
    70,694.88/106,014.24 = 31,224/x
  3. Step 3: Cross multiply
    70,694.88x = 106,014.24 × 31,224
  4. Step 4: Simplify right side
    70,694.88x = 3,310,188,629.76
  5. Step 5: Solve for x
    x = 3,310,188,629.76/70,694.88
  6. Step 6: Final answer
    x = 46,823.60

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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.