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Finding the Fourth Proportional to 41,692.50, 57,535.65 and 22,829.67

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Solution

The fourth proportional to 41,692.50, 57,535.65 and 22,829.67 is: 31,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,692.50 : 57,535.65 = 22,829.67 : x
  2. Step 2: Convert to fraction form
    41,692.50/57,535.65 = 22,829.67/x
  3. Step 3: Cross multiply
    41,692.50x = 57,535.65 × 22,829.67
  4. Step 4: Simplify right side
    41,692.50x = 1,313,519,902.74
  5. Step 5: Solve for x
    x = 1,313,519,902.74/41,692.50
  6. Step 6: Final answer
    x = 31,504.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.