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Finding the Fourth Proportional to 24,751.92, 37,119.96 and 8,107.44

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Solution

The fourth proportional to 24,751.92, 37,119.96 and 8,107.44 is: 12,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.92 : 37,119.96 = 8,107.44 : x
  2. Step 2: Convert to fraction form
    24,751.92/37,119.96 = 8,107.44/x
  3. Step 3: Cross multiply
    24,751.92x = 37,119.96 × 8,107.44
  4. Step 4: Simplify right side
    24,751.92x = 300,947,848.50
  5. Step 5: Solve for x
    x = 300,947,848.50/24,751.92
  6. Step 6: Final answer
    x = 12,158.57

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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.