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Finding the Fourth Proportional to 82,365.50, 113,676.58 and 52,153.62

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Solution

The fourth proportional to 82,365.50, 113,676.58 and 52,153.62 is: 71,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,365.50 : 113,676.58 = 52,153.62 : x
  2. Step 2: Convert to fraction form
    82,365.50/113,676.58 = 52,153.62/x
  3. Step 3: Cross multiply
    82,365.50x = 113,676.58 × 52,153.62
  4. Step 4: Simplify right side
    82,365.50x = 5,928,645,156.22
  5. Step 5: Solve for x
    x = 5,928,645,156.22/82,365.50
  6. Step 6: Final answer
    x = 71,979.71

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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.