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Finding the Fourth Proportional to 81,092.48, 111,907.78 and 45,282.38

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Solution

The fourth proportional to 81,092.48, 111,907.78 and 45,282.38 is: 62,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,092.48 : 111,907.78 = 45,282.38 : x
  2. Step 2: Convert to fraction form
    81,092.48/111,907.78 = 45,282.38/x
  3. Step 3: Cross multiply
    81,092.48x = 111,907.78 × 45,282.38
  4. Step 4: Simplify right side
    81,092.48x = 5,067,449,946.17
  5. Step 5: Solve for x
    x = 5,067,449,946.17/81,092.48
  6. Step 6: Final answer
    x = 62,489.77

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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.