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Finding the Fourth Proportional to 37,102.50, 55,616.49 and 18,396.14

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Solution

The fourth proportional to 37,102.50, 55,616.49 and 18,396.14 is: 27,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.50 : 55,616.49 = 18,396.14 : x
  2. Step 2: Convert to fraction form
    37,102.50/55,616.49 = 18,396.14/x
  3. Step 3: Cross multiply
    37,102.50x = 55,616.49 × 18,396.14
  4. Step 4: Simplify right side
    37,102.50x = 1,023,128,458.27
  5. Step 5: Solve for x
    x = 1,023,128,458.27/37,102.50
  6. Step 6: Final answer
    x = 27,575.73

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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.