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Finding the Fourth Proportional to 36,194.42, 54,211.42 and 27,812.74

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Solution

The fourth proportional to 36,194.42, 54,211.42 and 27,812.74 is: 41,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,194.42 : 54,211.42 = 27,812.74 : x
  2. Step 2: Convert to fraction form
    36,194.42/54,211.42 = 27,812.74/x
  3. Step 3: Cross multiply
    36,194.42x = 54,211.42 × 27,812.74
  4. Step 4: Simplify right side
    36,194.42x = 1,507,768,129.49
  5. Step 5: Solve for x
    x = 1,507,768,129.49/36,194.42
  6. Step 6: Final answer
    x = 41,657.47

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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.