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Finding the Fourth Proportional to 91,769.16, 137,692.62 and 50,167.56

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Solution

The fourth proportional to 91,769.16, 137,692.62 and 50,167.56 is: 75,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,769.16 : 137,692.62 = 50,167.56 : x
  2. Step 2: Convert to fraction form
    91,769.16/137,692.62 = 50,167.56/x
  3. Step 3: Cross multiply
    91,769.16x = 137,692.62 × 50,167.56
  4. Step 4: Simplify right side
    91,769.16x = 6,907,702,775.41
  5. Step 5: Solve for x
    x = 6,907,702,775.41/91,769.16
  6. Step 6: Final answer
    x = 75,272.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.