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Finding the Fourth Proportional to 37,102.77, 55,659.36 and 12,144.78

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Solution

The fourth proportional to 37,102.77, 55,659.36 and 12,144.78 is: 18,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.77 : 55,659.36 = 12,144.78 : x
  2. Step 2: Convert to fraction form
    37,102.77/55,659.36 = 12,144.78/x
  3. Step 3: Cross multiply
    37,102.77x = 55,659.36 × 12,144.78
  4. Step 4: Simplify right side
    37,102.77x = 675,970,682.14
  5. Step 5: Solve for x
    x = 675,970,682.14/37,102.77
  6. Step 6: Final answer
    x = 18,218.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.