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Finding the Fourth Proportional to 82,694.81, 114,115.39 and 46,887.24

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Solution

The fourth proportional to 82,694.81, 114,115.39 and 46,887.24 is: 64,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,694.81 : 114,115.39 = 46,887.24 : x
  2. Step 2: Convert to fraction form
    82,694.81/114,115.39 = 46,887.24/x
  3. Step 3: Cross multiply
    82,694.81x = 114,115.39 × 46,887.24
  4. Step 4: Simplify right side
    82,694.81x = 5,350,555,678.62
  5. Step 5: Solve for x
    x = 5,350,555,678.62/82,694.81
  6. Step 6: Final answer
    x = 64,702.44

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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.