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Finding the Fourth Proportional to 49,756.70, 68,687.73 and 31,862.09

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Solution

The fourth proportional to 49,756.70, 68,687.73 and 31,862.09 is: 43,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,756.70 : 68,687.73 = 31,862.09 : x
  2. Step 2: Convert to fraction form
    49,756.70/68,687.73 = 31,862.09/x
  3. Step 3: Cross multiply
    49,756.70x = 68,687.73 × 31,862.09
  4. Step 4: Simplify right side
    49,756.70x = 2,188,534,291.72
  5. Step 5: Solve for x
    x = 2,188,534,291.72/49,756.70
  6. Step 6: Final answer
    x = 43,984.72

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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.