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Finding the Fourth Proportional to 50,948.70, 70,309.44 and 31,839.57

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Solution

The fourth proportional to 50,948.70, 70,309.44 and 31,839.57 is: 43,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,948.70 : 70,309.44 = 31,839.57 : x
  2. Step 2: Convert to fraction form
    50,948.70/70,309.44 = 31,839.57/x
  3. Step 3: Cross multiply
    50,948.70x = 70,309.44 × 31,839.57
  4. Step 4: Simplify right side
    50,948.70x = 2,238,622,336.54
  5. Step 5: Solve for x
    x = 2,238,622,336.54/50,948.70
  6. Step 6: Final answer
    x = 43,938.75

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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.