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Finding the Fourth Proportional to 36,098.49, 49,816.53 and 20,181.24

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Solution

The fourth proportional to 36,098.49, 49,816.53 and 20,181.24 is: 27,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098.49 : 49,816.53 = 20,181.24 : x
  2. Step 2: Convert to fraction form
    36,098.49/49,816.53 = 20,181.24/x
  3. Step 3: Cross multiply
    36,098.49x = 49,816.53 × 20,181.24
  4. Step 4: Simplify right side
    36,098.49x = 1,005,359,347.90
  5. Step 5: Solve for x
    x = 1,005,359,347.90/36,098.49
  6. Step 6: Final answer
    x = 27,850.45

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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.