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Finding the Fourth Proportional to 36,971.78, 55,449.50 and 10,670.80

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Solution

The fourth proportional to 36,971.78, 55,449.50 and 10,670.80 is: 16,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,971.78 : 55,449.50 = 10,670.80 : x
  2. Step 2: Convert to fraction form
    36,971.78/55,449.50 = 10,670.80/x
  3. Step 3: Cross multiply
    36,971.78x = 55,449.50 × 10,670.80
  4. Step 4: Simplify right side
    36,971.78x = 591,690,524.60
  5. Step 5: Solve for x
    x = 591,690,524.60/36,971.78
  6. Step 6: Final answer
    x = 16,003.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.