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Finding the Fourth Proportional to 73,136.87, 109,692.76 and 23,205.84

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Solution

The fourth proportional to 73,136.87, 109,692.76 and 23,205.84 is: 34,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,136.87 : 109,692.76 = 23,205.84 : x
  2. Step 2: Convert to fraction form
    73,136.87/109,692.76 = 23,205.84/x
  3. Step 3: Cross multiply
    73,136.87x = 109,692.76 × 23,205.84
  4. Step 4: Simplify right side
    73,136.87x = 2,545,512,637.72
  5. Step 5: Solve for x
    x = 2,545,512,637.72/73,136.87
  6. Step 6: Final answer
    x = 34,804.78

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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.