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Finding the Fourth Proportional to 82,096.29, 113,217.29 and 51,829.02

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Solution

The fourth proportional to 82,096.29, 113,217.29 and 51,829.02 is: 71,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,096.29 : 113,217.29 = 51,829.02 : x
  2. Step 2: Convert to fraction form
    82,096.29/113,217.29 = 51,829.02/x
  3. Step 3: Cross multiply
    82,096.29x = 113,217.29 × 51,829.02
  4. Step 4: Simplify right side
    82,096.29x = 5,867,940,928.61
  5. Step 5: Solve for x
    x = 5,867,940,928.61/82,096.29
  6. Step 6: Final answer
    x = 71,476.32

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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.