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Finding the Fourth Proportional to 37,122.36, 55,677.88 and 12,165

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Solution

The fourth proportional to 37,122.36, 55,677.88 and 12,165 is: 18,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,122.36 : 55,677.88 = 12,165 : x
  2. Step 2: Convert to fraction form
    37,122.36/55,677.88 = 12,165/x
  3. Step 3: Cross multiply
    37,122.36x = 55,677.88 × 12,165
  4. Step 4: Simplify right side
    37,122.36x = 677,321,410.20
  5. Step 5: Solve for x
    x = 677,321,410.20/37,122.36
  6. Step 6: Final answer
    x = 18,245.65

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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.