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Finding the Fourth Proportional to 55,135, 82,691.52 and 15,692.44

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Solution

The fourth proportional to 55,135, 82,691.52 and 15,692.44 is: 23,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,135 : 82,691.52 = 15,692.44 : x
  2. Step 2: Convert to fraction form
    55,135/82,691.52 = 15,692.44/x
  3. Step 3: Cross multiply
    55,135x = 82,691.52 × 15,692.44
  4. Step 4: Simplify right side
    55,135x = 1,297,631,716.11
  5. Step 5: Solve for x
    x = 1,297,631,716.11/55,135
  6. Step 6: Final answer
    x = 23,535.53

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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.