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Finding the Fourth Proportional to 39,705.38, 54,794.02 and 21,802

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Solution

The fourth proportional to 39,705.38, 54,794.02 and 21,802 is: 30,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,705.38 : 54,794.02 = 21,802 : x
  2. Step 2: Convert to fraction form
    39,705.38/54,794.02 = 21,802/x
  3. Step 3: Cross multiply
    39,705.38x = 54,794.02 × 21,802
  4. Step 4: Simplify right side
    39,705.38x = 1,194,619,224.04
  5. Step 5: Solve for x
    x = 1,194,619,224.04/39,705.38
  6. Step 6: Final answer
    x = 30,087.09

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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.