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Finding the Fourth Proportional to 49,930.40, 68,893.80 and 31,788.38

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Solution

The fourth proportional to 49,930.40, 68,893.80 and 31,788.38 is: 43,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,930.40 : 68,893.80 = 31,788.38 : x
  2. Step 2: Convert to fraction form
    49,930.40/68,893.80 = 31,788.38/x
  3. Step 3: Cross multiply
    49,930.40x = 68,893.80 × 31,788.38
  4. Step 4: Simplify right side
    49,930.40x = 2,190,022,294.04
  5. Step 5: Solve for x
    x = 2,190,022,294.04/49,930.40
  6. Step 6: Final answer
    x = 43,861.50

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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.