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Finding the Fourth Proportional to 54,718.52, 75,511.44 and 29,568

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Solution

The fourth proportional to 54,718.52, 75,511.44 and 29,568 is: 40,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,718.52 : 75,511.44 = 29,568 : x
  2. Step 2: Convert to fraction form
    54,718.52/75,511.44 = 29,568/x
  3. Step 3: Cross multiply
    54,718.52x = 75,511.44 × 29,568
  4. Step 4: Simplify right side
    54,718.52x = 2,232,722,257.92
  5. Step 5: Solve for x
    x = 2,232,722,257.92/54,718.52
  6. Step 6: Final answer
    x = 40,803.78

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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.