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Finding the Fourth Proportional to 36,766, 55,149.18 and 9,064

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Solution

The fourth proportional to 36,766, 55,149.18 and 9,064 is: 13,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,766 : 55,149.18 = 9,064 : x
  2. Step 2: Convert to fraction form
    36,766/55,149.18 = 9,064/x
  3. Step 3: Cross multiply
    36,766x = 55,149.18 × 9,064
  4. Step 4: Simplify right side
    36,766x = 499,872,167.52
  5. Step 5: Solve for x
    x = 499,872,167.52/36,766
  6. Step 6: Final answer
    x = 13,596.04

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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.