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Finding the Fourth Proportional to 82,489.59, 113,834.97 and 44,763.84

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Solution

The fourth proportional to 82,489.59, 113,834.97 and 44,763.84 is: 61,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,489.59 : 113,834.97 = 44,763.84 : x
  2. Step 2: Convert to fraction form
    82,489.59/113,834.97 = 44,763.84/x
  3. Step 3: Cross multiply
    82,489.59x = 113,834.97 × 44,763.84
  4. Step 4: Simplify right side
    82,489.59x = 5,095,690,383.48
  5. Step 5: Solve for x
    x = 5,095,690,383.48/82,489.59
  6. Step 6: Final answer
    x = 61,773.74

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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.