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Finding the Fourth Proportional to 82,940.27, 114,454.17 and 46,640.68

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Solution

The fourth proportional to 82,940.27, 114,454.17 and 46,640.68 is: 64,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,940.27 : 114,454.17 = 46,640.68 : x
  2. Step 2: Convert to fraction form
    82,940.27/114,454.17 = 46,640.68/x
  3. Step 3: Cross multiply
    82,940.27x = 114,454.17 × 46,640.68
  4. Step 4: Simplify right side
    82,940.27x = 5,338,220,317.64
  5. Step 5: Solve for x
    x = 5,338,220,317.64/82,940.27
  6. Step 6: Final answer
    x = 64,362.23

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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.