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Finding the Fourth Proportional to 81,174.81, 111,948.73 and 50,962.97

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Solution

The fourth proportional to 81,174.81, 111,948.73 and 50,962.97 is: 70,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,174.81 : 111,948.73 = 50,962.97 : x
  2. Step 2: Convert to fraction form
    81,174.81/111,948.73 = 50,962.97/x
  3. Step 3: Cross multiply
    81,174.81x = 111,948.73 × 50,962.97
  4. Step 4: Simplify right side
    81,174.81x = 5,705,240,207.66
  5. Step 5: Solve for x
    x = 5,705,240,207.66/81,174.81
  6. Step 6: Final answer
    x = 70,283.38

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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.