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Finding the Fourth Proportional to 50,137.31, 69,182.89 and 29,986.84

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Solution

The fourth proportional to 50,137.31, 69,182.89 and 29,986.84 is: 41,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,137.31 : 69,182.89 = 29,986.84 : x
  2. Step 2: Convert to fraction form
    50,137.31/69,182.89 = 29,986.84/x
  3. Step 3: Cross multiply
    50,137.31x = 69,182.89 × 29,986.84
  4. Step 4: Simplify right side
    50,137.31x = 2,074,576,253.17
  5. Step 5: Solve for x
    x = 2,074,576,253.17/50,137.31
  6. Step 6: Final answer
    x = 41,377.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.