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Finding the Fourth Proportional to 36,725.76, 55,077.12 and 12,096

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Solution

The fourth proportional to 36,725.76, 55,077.12 and 12,096 is: 18,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,725.76 : 55,077.12 = 12,096 : x
  2. Step 2: Convert to fraction form
    36,725.76/55,077.12 = 12,096/x
  3. Step 3: Cross multiply
    36,725.76x = 55,077.12 × 12,096
  4. Step 4: Simplify right side
    36,725.76x = 666,212,843.52
  5. Step 5: Solve for x
    x = 666,212,843.52/36,725.76
  6. Step 6: Final answer
    x = 18,140.21

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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.