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Finding the Fourth Proportional to 71,085.33, 106,543.17 and 33,083.46

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Solution

The fourth proportional to 71,085.33, 106,543.17 and 33,083.46 is: 49,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,085.33 : 106,543.17 = 33,083.46 : x
  2. Step 2: Convert to fraction form
    71,085.33/106,543.17 = 33,083.46/x
  3. Step 3: Cross multiply
    71,085.33x = 106,543.17 × 33,083.46
  4. Step 4: Simplify right side
    71,085.33x = 3,524,816,702.97
  5. Step 5: Solve for x
    x = 3,524,816,702.97/71,085.33
  6. Step 6: Final answer
    x = 49,585.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.