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Finding the Fourth Proportional to 24,739.82, 37,106.16 and 8,100.52

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Solution

The fourth proportional to 24,739.82, 37,106.16 and 8,100.52 is: 12,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739.82 : 37,106.16 = 8,100.52 : x
  2. Step 2: Convert to fraction form
    24,739.82/37,106.16 = 8,100.52/x
  3. Step 3: Cross multiply
    24,739.82x = 37,106.16 × 8,100.52
  4. Step 4: Simplify right side
    24,739.82x = 300,579,191.20
  5. Step 5: Solve for x
    x = 300,579,191.20/24,739.82
  6. Step 6: Final answer
    x = 12,149.61

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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.