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Finding the Fourth Proportional to 70,449.24, 105,685.74 and 23,691

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Solution

The fourth proportional to 70,449.24, 105,685.74 and 23,691 is: 35,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,449.24 : 105,685.74 = 23,691 : x
  2. Step 2: Convert to fraction form
    70,449.24/105,685.74 = 23,691/x
  3. Step 3: Cross multiply
    70,449.24x = 105,685.74 × 23,691
  4. Step 4: Simplify right side
    70,449.24x = 2,503,800,866.34
  5. Step 5: Solve for x
    x = 2,503,800,866.34/70,449.24
  6. Step 6: Final answer
    x = 35,540.50

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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.