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Finding the Fourth Proportional to 81,005.72, 111,793.50 and 45,202.73

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Solution

The fourth proportional to 81,005.72, 111,793.50 and 45,202.73 is: 62,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,005.72 : 111,793.50 = 45,202.73 : x
  2. Step 2: Convert to fraction form
    81,005.72/111,793.50 = 45,202.73/x
  3. Step 3: Cross multiply
    81,005.72x = 111,793.50 × 45,202.73
  4. Step 4: Simplify right side
    81,005.72x = 5,053,370,837.29
  5. Step 5: Solve for x
    x = 5,053,370,837.29/81,005.72
  6. Step 6: Final answer
    x = 62,382.89

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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.