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Finding the Fourth Proportional to 82,134.53, 113,345.49 and 46,324.43

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Solution

The fourth proportional to 82,134.53, 113,345.49 and 46,324.43 is: 63,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,134.53 : 113,345.49 = 46,324.43 : x
  2. Step 2: Convert to fraction form
    82,134.53/113,345.49 = 46,324.43/x
  3. Step 3: Cross multiply
    82,134.53x = 113,345.49 × 46,324.43
  4. Step 4: Simplify right side
    82,134.53x = 5,250,665,217.32
  5. Step 5: Solve for x
    x = 5,250,665,217.32/82,134.53
  6. Step 6: Final answer
    x = 63,927.62

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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.