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Finding the Fourth Proportional to 84,611.10, 116,761.32 and 46,369.38

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Solution

The fourth proportional to 84,611.10, 116,761.32 and 46,369.38 is: 63,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,611.10 : 116,761.32 = 46,369.38 : x
  2. Step 2: Convert to fraction form
    84,611.10/116,761.32 = 46,369.38/x
  3. Step 3: Cross multiply
    84,611.10x = 116,761.32 × 46,369.38
  4. Step 4: Simplify right side
    84,611.10x = 5,414,150,016.38
  5. Step 5: Solve for x
    x = 5,414,150,016.38/84,611.10
  6. Step 6: Final answer
    x = 63,988.65

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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.