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Finding the Fourth Proportional to 84,969.38, 117,084.97 and 65,732.33

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Solution

The fourth proportional to 84,969.38, 117,084.97 and 65,732.33 is: 90,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,969.38 : 117,084.97 = 65,732.33 : x
  2. Step 2: Convert to fraction form
    84,969.38/117,084.97 = 65,732.33/x
  3. Step 3: Cross multiply
    84,969.38x = 117,084.97 × 65,732.33
  4. Step 4: Simplify right side
    84,969.38x = 7,696,267,886.08
  5. Step 5: Solve for x
    x = 7,696,267,886.08/84,969.38
  6. Step 6: Final answer
    x = 90,576.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.