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Finding the Fourth Proportional to 27,580, 41,375.76 and 11,164

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Solution

The fourth proportional to 27,580, 41,375.76 and 11,164 is: 16,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580 : 41,375.76 = 11,164 : x
  2. Step 2: Convert to fraction form
    27,580/41,375.76 = 11,164/x
  3. Step 3: Cross multiply
    27,580x = 41,375.76 × 11,164
  4. Step 4: Simplify right side
    27,580x = 461,918,984.64
  5. Step 5: Solve for x
    x = 461,918,984.64/27,580
  6. Step 6: Final answer
    x = 16,748.33

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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.