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Finding the Fourth Proportional to 51,376.38, 70,893.99 and 30,162.30

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Solution

The fourth proportional to 51,376.38, 70,893.99 and 30,162.30 is: 41,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,376.38 : 70,893.99 = 30,162.30 : x
  2. Step 2: Convert to fraction form
    51,376.38/70,893.99 = 30,162.30/x
  3. Step 3: Cross multiply
    51,376.38x = 70,893.99 × 30,162.30
  4. Step 4: Simplify right side
    51,376.38x = 2,138,325,794.58
  5. Step 5: Solve for x
    x = 2,138,325,794.58/51,376.38
  6. Step 6: Final answer
    x = 41,620.80

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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.