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Finding the Fourth Proportional to 54,705.92, 82,007.04 and 17,744

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Solution

The fourth proportional to 54,705.92, 82,007.04 and 17,744 is: 26,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,705.92 : 82,007.04 = 17,744 : x
  2. Step 2: Convert to fraction form
    54,705.92/82,007.04 = 17,744/x
  3. Step 3: Cross multiply
    54,705.92x = 82,007.04 × 17,744
  4. Step 4: Simplify right side
    54,705.92x = 1,455,132,917.76
  5. Step 5: Solve for x
    x = 1,455,132,917.76/54,705.92
  6. Step 6: Final answer
    x = 26,599.19

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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.