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Finding the Fourth Proportional to 31,795.20, 47,692.80 and 20,121.60

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Solution

The fourth proportional to 31,795.20, 47,692.80 and 20,121.60 is: 30,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,795.20 : 47,692.80 = 20,121.60 : x
  2. Step 2: Convert to fraction form
    31,795.20/47,692.80 = 20,121.60/x
  3. Step 3: Cross multiply
    31,795.20x = 47,692.80 × 20,121.60
  4. Step 4: Simplify right side
    31,795.20x = 959,655,444.48
  5. Step 5: Solve for x
    x = 959,655,444.48/31,795.20
  6. Step 6: Final answer
    x = 30,182.40

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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.