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Finding the Fourth Proportional to 82,382.67, 113,687.33 and 46,083.69

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Solution

The fourth proportional to 82,382.67, 113,687.33 and 46,083.69 is: 63,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,382.67 : 113,687.33 = 46,083.69 : x
  2. Step 2: Convert to fraction form
    82,382.67/113,687.33 = 46,083.69/x
  3. Step 3: Cross multiply
    82,382.67x = 113,687.33 × 46,083.69
  4. Step 4: Simplify right side
    82,382.67x = 5,239,131,442.23
  5. Step 5: Solve for x
    x = 5,239,131,442.23/82,382.67
  6. Step 6: Final answer
    x = 63,595.07

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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.