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Finding the Fourth Proportional to 51,951.99, 71,692.31 and 29,290.78

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Solution

The fourth proportional to 51,951.99, 71,692.31 and 29,290.78 is: 40,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.99 : 71,692.31 = 29,290.78 : x
  2. Step 2: Convert to fraction form
    51,951.99/71,692.31 = 29,290.78/x
  3. Step 3: Cross multiply
    51,951.99x = 71,692.31 × 29,290.78
  4. Step 4: Simplify right side
    51,951.99x = 2,099,923,533.45
  5. Step 5: Solve for x
    x = 2,099,923,533.45/51,951.99
  6. Step 6: Final answer
    x = 40,420.47

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1.5x scale

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.