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Finding the Fourth Proportional to 81,986.38, 113,169.50 and 48,005.79

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Solution

The fourth proportional to 81,986.38, 113,169.50 and 48,005.79 is: 66,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,986.38 : 113,169.50 = 48,005.79 : x
  2. Step 2: Convert to fraction form
    81,986.38/113,169.50 = 48,005.79/x
  3. Step 3: Cross multiply
    81,986.38x = 113,169.50 × 48,005.79
  4. Step 4: Simplify right side
    81,986.38x = 5,432,791,355.33
  5. Step 5: Solve for x
    x = 5,432,791,355.33/81,986.38
  6. Step 6: Final answer
    x = 66,264.56

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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.