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Finding the Fourth Proportional to 36,047.11, 49,745.12 and 20,132.16

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Solution

The fourth proportional to 36,047.11, 49,745.12 and 20,132.16 is: 27,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,047.11 : 49,745.12 = 20,132.16 : x
  2. Step 2: Convert to fraction form
    36,047.11/49,745.12 = 20,132.16/x
  3. Step 3: Cross multiply
    36,047.11x = 49,745.12 × 20,132.16
  4. Step 4: Simplify right side
    36,047.11x = 1,001,476,715.06
  5. Step 5: Solve for x
    x = 1,001,476,715.06/36,047.11
  6. Step 6: Final answer
    x = 27,782.44

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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.