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Finding the Fourth Proportional to 82,494.95, 113,843.12 and 44,769.20

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Solution

The fourth proportional to 82,494.95, 113,843.12 and 44,769.20 is: 61,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,494.95 : 113,843.12 = 44,769.20 : x
  2. Step 2: Convert to fraction form
    82,494.95/113,843.12 = 44,769.20/x
  3. Step 3: Cross multiply
    82,494.95x = 113,843.12 × 44,769.20
  4. Step 4: Simplify right side
    82,494.95x = 5,096,664,614.84
  5. Step 5: Solve for x
    x = 5,096,664,614.84/82,494.95
  6. Step 6: Final answer
    x = 61,781.54

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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.