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Finding the Fourth Proportional to 36,494.42, 54,741.42 and 11,534.43

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Solution

The fourth proportional to 36,494.42, 54,741.42 and 11,534.43 is: 17,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,494.42 : 54,741.42 = 11,534.43 : x
  2. Step 2: Convert to fraction form
    36,494.42/54,741.42 = 11,534.43/x
  3. Step 3: Cross multiply
    36,494.42x = 54,741.42 × 11,534.43
  4. Step 4: Simplify right side
    36,494.42x = 631,410,820.49
  5. Step 5: Solve for x
    x = 631,410,820.49/36,494.42
  6. Step 6: Final answer
    x = 17,301.57

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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.