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Finding the Fourth Proportional to 24,759.50, 37,142.77 and 8,120.83

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Solution

The fourth proportional to 24,759.50, 37,142.77 and 8,120.83 is: 12,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,759.50 : 37,142.77 = 8,120.83 : x
  2. Step 2: Convert to fraction form
    24,759.50/37,142.77 = 8,120.83/x
  3. Step 3: Cross multiply
    24,759.50x = 37,142.77 × 8,120.83
  4. Step 4: Simplify right side
    24,759.50x = 301,629,935.19
  5. Step 5: Solve for x
    x = 301,629,935.19/24,759.50
  6. Step 6: Final answer
    x = 12,182.39

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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.