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Finding the Fourth Proportional to 84,087.66, 116,541.87 and 82,513.02

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Solution

The fourth proportional to 84,087.66, 116,541.87 and 82,513.02 is: 114,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,087.66 : 116,541.87 = 82,513.02 : x
  2. Step 2: Convert to fraction form
    84,087.66/116,541.87 = 82,513.02/x
  3. Step 3: Cross multiply
    84,087.66x = 116,541.87 × 82,513.02
  4. Step 4: Simplify right side
    84,087.66x = 9,616,221,067.44
  5. Step 5: Solve for x
    x = 9,616,221,067.44/84,087.66
  6. Step 6: Final answer
    x = 114,359.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.