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Finding the Fourth Proportional to 70,022, 105,033.04 and 23,274.96

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Solution

The fourth proportional to 70,022, 105,033.04 and 23,274.96 is: 34,912.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,022 : 105,033.04 = 23,274.96 : x
  2. Step 2: Convert to fraction form
    70,022/105,033.04 = 23,274.96/x
  3. Step 3: Cross multiply
    70,022x = 105,033.04 × 23,274.96
  4. Step 4: Simplify right side
    70,022x = 2,444,639,804.68
  5. Step 5: Solve for x
    x = 2,444,639,804.68/70,022
  6. Step 6: Final answer
    x = 34,912.45

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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.