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Finding the Fourth Proportional to 82,106.14, 113,306.51 and 44,380.39

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Solution

The fourth proportional to 82,106.14, 113,306.51 and 44,380.39 is: 61,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,106.14 : 113,306.51 = 44,380.39 : x
  2. Step 2: Convert to fraction form
    82,106.14/113,306.51 = 44,380.39/x
  3. Step 3: Cross multiply
    82,106.14x = 113,306.51 × 44,380.39
  4. Step 4: Simplify right side
    82,106.14x = 5,028,587,103.34
  5. Step 5: Solve for x
    x = 5,028,587,103.34/82,106.14
  6. Step 6: Final answer
    x = 61,244.96

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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.