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Finding the Fourth Proportional to 36,493.58, 54,735.65 and 11,536.14

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Solution

The fourth proportional to 36,493.58, 54,735.65 and 11,536.14 is: 17,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493.58 : 54,735.65 = 11,536.14 : x
  2. Step 2: Convert to fraction form
    36,493.58/54,735.65 = 11,536.14/x
  3. Step 3: Cross multiply
    36,493.58x = 54,735.65 × 11,536.14
  4. Step 4: Simplify right side
    36,493.58x = 631,438,121.39
  5. Step 5: Solve for x
    x = 631,438,121.39/36,493.58
  6. Step 6: Final answer
    x = 17,302.72

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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.