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Finding the Fourth Proportional to 50,757, 76,139.10 and 15,692.10

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Solution

The fourth proportional to 50,757, 76,139.10 and 15,692.10 is: 23,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,757 : 76,139.10 = 15,692.10 : x
  2. Step 2: Convert to fraction form
    50,757/76,139.10 = 15,692.10/x
  3. Step 3: Cross multiply
    50,757x = 76,139.10 × 15,692.10
  4. Step 4: Simplify right side
    50,757x = 1,194,782,371.11
  5. Step 5: Solve for x
    x = 1,194,782,371.11/50,757
  6. Step 6: Final answer
    x = 23,539.26

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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.