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Finding the Fourth Proportional to 36,102.96, 49,821.68 and 20,187.20

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Solution

The fourth proportional to 36,102.96, 49,821.68 and 20,187.20 is: 27,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,102.96 : 49,821.68 = 20,187.20 : x
  2. Step 2: Convert to fraction form
    36,102.96/49,821.68 = 20,187.20/x
  3. Step 3: Cross multiply
    36,102.96x = 49,821.68 × 20,187.20
  4. Step 4: Simplify right side
    36,102.96x = 1,005,760,218.50
  5. Step 5: Solve for x
    x = 1,005,760,218.50/36,102.96
  6. Step 6: Final answer
    x = 27,858.11

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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.