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Finding the Fourth Proportional to 41,192.52, 61,752.24 and 20,121

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Solution

The fourth proportional to 41,192.52, 61,752.24 and 20,121 is: 30,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,192.52 : 61,752.24 = 20,121 : x
  2. Step 2: Convert to fraction form
    41,192.52/61,752.24 = 20,121/x
  3. Step 3: Cross multiply
    41,192.52x = 61,752.24 × 20,121
  4. Step 4: Simplify right side
    41,192.52x = 1,242,516,821.04
  5. Step 5: Solve for x
    x = 1,242,516,821.04/41,192.52
  6. Step 6: Final answer
    x = 30,163.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.