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Finding the Fourth Proportional to 36,171.12, 49,911.66 and 20,253

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Solution

The fourth proportional to 36,171.12, 49,911.66 and 20,253 is: 27,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,171.12 : 49,911.66 = 20,253 : x
  2. Step 2: Convert to fraction form
    36,171.12/49,911.66 = 20,253/x
  3. Step 3: Cross multiply
    36,171.12x = 49,911.66 × 20,253
  4. Step 4: Simplify right side
    36,171.12x = 1,010,860,849.98
  5. Step 5: Solve for x
    x = 1,010,860,849.98/36,171.12
  6. Step 6: Final answer
    x = 27,946.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.