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Finding the Fourth Proportional to 37,204.20, 55,807.92 and 18,493.20

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Solution

The fourth proportional to 37,204.20, 55,807.92 and 18,493.20 is: 27,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,204.20 : 55,807.92 = 18,493.20 : x
  2. Step 2: Convert to fraction form
    37,204.20/55,807.92 = 18,493.20/x
  3. Step 3: Cross multiply
    37,204.20x = 55,807.92 × 18,493.20
  4. Step 4: Simplify right side
    37,204.20x = 1,032,067,026.14
  5. Step 5: Solve for x
    x = 1,032,067,026.14/37,204.20
  6. Step 6: Final answer
    x = 27,740.61

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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.