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Finding the Fourth Proportional to 24,745.32, 37,110.17 and 8,101.52

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Solution

The fourth proportional to 24,745.32, 37,110.17 and 8,101.52 is: 12,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,745.32 : 37,110.17 = 8,101.52 : x
  2. Step 2: Convert to fraction form
    24,745.32/37,110.17 = 8,101.52/x
  3. Step 3: Cross multiply
    24,745.32x = 37,110.17 × 8,101.52
  4. Step 4: Simplify right side
    24,745.32x = 300,648,921.50
  5. Step 5: Solve for x
    x = 300,648,921.50/24,745.32
  6. Step 6: Final answer
    x = 12,149.73

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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.