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Finding the Fourth Proportional to 70,474.26, 105,708.63 and 23,092.92

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Solution

The fourth proportional to 70,474.26, 105,708.63 and 23,092.92 is: 34,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,474.26 : 105,708.63 = 23,092.92 : x
  2. Step 2: Convert to fraction form
    70,474.26/105,708.63 = 23,092.92/x
  3. Step 3: Cross multiply
    70,474.26x = 105,708.63 × 23,092.92
  4. Step 4: Simplify right side
    70,474.26x = 2,441,120,935.90
  5. Step 5: Solve for x
    x = 2,441,120,935.90/70,474.26
  6. Step 6: Final answer
    x = 34,638.48

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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.