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Finding the Fourth Proportional to 70,628.76, 105,942.96 and 23,914.44

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Solution

The fourth proportional to 70,628.76, 105,942.96 and 23,914.44 is: 35,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,628.76 : 105,942.96 = 23,914.44 : x
  2. Step 2: Convert to fraction form
    70,628.76/105,942.96 = 23,914.44/x
  3. Step 3: Cross multiply
    70,628.76x = 105,942.96 × 23,914.44
  4. Step 4: Simplify right side
    70,628.76x = 2,533,566,560.34
  5. Step 5: Solve for x
    x = 2,533,566,560.34/70,628.76
  6. Step 6: Final answer
    x = 35,871.60

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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.