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Finding the Fourth Proportional to 31,692.50, 47,533.97 and 10,628.96

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Solution

The fourth proportional to 31,692.50, 47,533.97 and 10,628.96 is: 15,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.50 : 47,533.97 = 10,628.96 : x
  2. Step 2: Convert to fraction form
    31,692.50/47,533.97 = 10,628.96/x
  3. Step 3: Cross multiply
    31,692.50x = 47,533.97 × 10,628.96
  4. Step 4: Simplify right side
    31,692.50x = 505,236,374.96
  5. Step 5: Solve for x
    x = 505,236,374.96/31,692.50
  6. Step 6: Final answer
    x = 15,941.83

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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.