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Finding the Fourth Proportional to 70,493.28, 105,727.92 and 23,107.44

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Solution

The fourth proportional to 70,493.28, 105,727.92 and 23,107.44 is: 34,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,493.28 : 105,727.92 = 23,107.44 : x
  2. Step 2: Convert to fraction form
    70,493.28/105,727.92 = 23,107.44/x
  3. Step 3: Cross multiply
    70,493.28x = 105,727.92 × 23,107.44
  4. Step 4: Simplify right side
    70,493.28x = 2,443,101,567.72
  5. Step 5: Solve for x
    x = 2,443,101,567.72/70,493.28
  6. Step 6: Final answer
    x = 34,657.23

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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.