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Finding the Fourth Proportional to 36,851, 55,276.86 and 9,149

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Solution

The fourth proportional to 36,851, 55,276.86 and 9,149 is: 13,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,851 : 55,276.86 = 9,149 : x
  2. Step 2: Convert to fraction form
    36,851/55,276.86 = 9,149/x
  3. Step 3: Cross multiply
    36,851x = 55,276.86 × 9,149
  4. Step 4: Simplify right side
    36,851x = 505,727,992.14
  5. Step 5: Solve for x
    x = 505,727,992.14/36,851
  6. Step 6: Final answer
    x = 13,723.59

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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.