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Finding the Fourth Proportional to 36,508.50, 50,381.82 and 19,741.50

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Solution

The fourth proportional to 36,508.50, 50,381.82 and 19,741.50 is: 27,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,508.50 : 50,381.82 = 19,741.50 : x
  2. Step 2: Convert to fraction form
    36,508.50/50,381.82 = 19,741.50/x
  3. Step 3: Cross multiply
    36,508.50x = 50,381.82 × 19,741.50
  4. Step 4: Simplify right side
    36,508.50x = 994,612,699.53
  5. Step 5: Solve for x
    x = 994,612,699.53/36,508.50
  6. Step 6: Final answer
    x = 27,243.32

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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.