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Finding the Fourth Proportional to 54,846.32, 82,269.47 and 13,293.32

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Solution

The fourth proportional to 54,846.32, 82,269.47 and 13,293.32 is: 19,939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,846.32 : 82,269.47 = 13,293.32 : x
  2. Step 2: Convert to fraction form
    54,846.32/82,269.47 = 13,293.32/x
  3. Step 3: Cross multiply
    54,846.32x = 82,269.47 × 13,293.32
  4. Step 4: Simplify right side
    54,846.32x = 1,093,633,979.59
  5. Step 5: Solve for x
    x = 1,093,633,979.59/54,846.32
  6. Step 6: Final answer
    x = 19,939.97

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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.