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Finding the Fourth Proportional to 33,692.67, 50,521.14 and 10,312.83

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Solution

The fourth proportional to 33,692.67, 50,521.14 and 10,312.83 is: 15,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,692.67 : 50,521.14 = 10,312.83 : x
  2. Step 2: Convert to fraction form
    33,692.67/50,521.14 = 10,312.83/x
  3. Step 3: Cross multiply
    33,692.67x = 50,521.14 × 10,312.83
  4. Step 4: Simplify right side
    33,692.67x = 521,015,928.23
  5. Step 5: Solve for x
    x = 521,015,928.23/33,692.67
  6. Step 6: Final answer
    x = 15,463.78

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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.