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Finding the Fourth Proportional to 54,863.40, 82,297.96 and 17,426.40

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Solution

The fourth proportional to 54,863.40, 82,297.96 and 17,426.40 is: 26,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,863.40 : 82,297.96 = 17,426.40 : x
  2. Step 2: Convert to fraction form
    54,863.40/82,297.96 = 17,426.40/x
  3. Step 3: Cross multiply
    54,863.40x = 82,297.96 × 17,426.40
  4. Step 4: Simplify right side
    54,863.40x = 1,434,157,170.14
  5. Step 5: Solve for x
    x = 1,434,157,170.14/54,863.40
  6. Step 6: Final answer
    x = 26,140.51

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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.