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Finding the Fourth Proportional to 54,873.50, 75,726 and 29,723.54

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Solution

The fourth proportional to 54,873.50, 75,726 and 29,723.54 is: 41,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,873.50 : 75,726 = 29,723.54 : x
  2. Step 2: Convert to fraction form
    54,873.50/75,726 = 29,723.54/x
  3. Step 3: Cross multiply
    54,873.50x = 75,726 × 29,723.54
  4. Step 4: Simplify right side
    54,873.50x = 2,250,844,790.04
  5. Step 5: Solve for x
    x = 2,250,844,790.04/54,873.50
  6. Step 6: Final answer
    x = 41,018.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.