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Finding the Fourth Proportional to 84,282.44, 116,299.86 and 46,554.44

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Solution

The fourth proportional to 84,282.44, 116,299.86 and 46,554.44 is: 64,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,282.44 : 116,299.86 = 46,554.44 : x
  2. Step 2: Convert to fraction form
    84,282.44/116,299.86 = 46,554.44/x
  3. Step 3: Cross multiply
    84,282.44x = 116,299.86 × 46,554.44
  4. Step 4: Simplify right side
    84,282.44x = 5,414,274,854.38
  5. Step 5: Solve for x
    x = 5,414,274,854.38/84,282.44
  6. Step 6: Final answer
    x = 64,239.65

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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.