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Finding the Fourth Proportional to 83,846, 125,732.10 and 44,393.90

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Solution

The fourth proportional to 83,846, 125,732.10 and 44,393.90 is: 66,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,846 : 125,732.10 = 44,393.90 : x
  2. Step 2: Convert to fraction form
    83,846/125,732.10 = 44,393.90/x
  3. Step 3: Cross multiply
    83,846x = 125,732.10 × 44,393.90
  4. Step 4: Simplify right side
    83,846x = 5,581,738,274.19
  5. Step 5: Solve for x
    x = 5,581,738,274.19/83,846
  6. Step 6: Final answer
    x = 66,571.31

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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.