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Finding the Fourth Proportional to 55,049.44, 82,574.16 and 23,884

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Solution

The fourth proportional to 55,049.44, 82,574.16 and 23,884 is: 35,826

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,049.44 : 82,574.16 = 23,884 : x
  2. Step 2: Convert to fraction form
    55,049.44/82,574.16 = 23,884/x
  3. Step 3: Cross multiply
    55,049.44x = 82,574.16 × 23,884
  4. Step 4: Simplify right side
    55,049.44x = 1,972,201,237.44
  5. Step 5: Solve for x
    x = 1,972,201,237.44/55,049.44
  6. Step 6: Final answer
    x = 35,826

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Why These Related Problems?

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