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Finding the Fourth Proportional to 37,085.84, 55,650.60 and 13,728.56

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Solution

The fourth proportional to 37,085.84, 55,650.60 and 13,728.56 is: 20,600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,085.84 : 55,650.60 = 13,728.56 : x
  2. Step 2: Convert to fraction form
    37,085.84/55,650.60 = 13,728.56/x
  3. Step 3: Cross multiply
    37,085.84x = 55,650.60 × 13,728.56
  4. Step 4: Simplify right side
    37,085.84x = 764,002,601.14
  5. Step 5: Solve for x
    x = 764,002,601.14/37,085.84
  6. Step 6: Final answer
    x = 20,600.92

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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.