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Finding the Fourth Proportional to 81,441.93, 112,351.79 and 54,231.70

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Solution

The fourth proportional to 81,441.93, 112,351.79 and 54,231.70 is: 74,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,441.93 : 112,351.79 = 54,231.70 : x
  2. Step 2: Convert to fraction form
    81,441.93/112,351.79 = 54,231.70/x
  3. Step 3: Cross multiply
    81,441.93x = 112,351.79 × 54,231.70
  4. Step 4: Simplify right side
    81,441.93x = 6,093,028,569.74
  5. Step 5: Solve for x
    x = 6,093,028,569.74/81,441.93
  6. Step 6: Final answer
    x = 74,814.39

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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.