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Finding the Fourth Proportional to 76,467.30, 114,692.10 and 20,311.82

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Solution

The fourth proportional to 76,467.30, 114,692.10 and 20,311.82 is: 30,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,467.30 : 114,692.10 = 20,311.82 : x
  2. Step 2: Convert to fraction form
    76,467.30/114,692.10 = 20,311.82/x
  3. Step 3: Cross multiply
    76,467.30x = 114,692.10 × 20,311.82
  4. Step 4: Simplify right side
    76,467.30x = 2,329,605,290.62
  5. Step 5: Solve for x
    x = 2,329,605,290.62/76,467.30
  6. Step 6: Final answer
    x = 30,465.38

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