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Finding the Fourth Proportional to 82,376.33, 113,691.48 and 52,164.41

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Solution

The fourth proportional to 82,376.33, 113,691.48 and 52,164.41 is: 71,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,376.33 : 113,691.48 = 52,164.41 : x
  2. Step 2: Convert to fraction form
    82,376.33/113,691.48 = 52,164.41/x
  3. Step 3: Cross multiply
    82,376.33x = 113,691.48 × 52,164.41
  4. Step 4: Simplify right side
    82,376.33x = 5,930,648,976.23
  5. Step 5: Solve for x
    x = 5,930,648,976.23/82,376.33
  6. Step 6: Final answer
    x = 71,994.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.