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Finding the Fourth Proportional to 54,829, 82,258.62 and 17,893

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Solution

The fourth proportional to 54,829, 82,258.62 and 17,893 is: 26,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,829 : 82,258.62 = 17,893 : x
  2. Step 2: Convert to fraction form
    54,829/82,258.62 = 17,893/x
  3. Step 3: Cross multiply
    54,829x = 82,258.62 × 17,893
  4. Step 4: Simplify right side
    54,829x = 1,471,853,487.66
  5. Step 5: Solve for x
    x = 1,471,853,487.66/54,829
  6. Step 6: Final answer
    x = 26,844.43

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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.