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Finding the Fourth Proportional to 51,692.44, 71,327 and 30,475.80

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Solution

The fourth proportional to 51,692.44, 71,327 and 30,475.80 is: 42,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,692.44 : 71,327 = 30,475.80 : x
  2. Step 2: Convert to fraction form
    51,692.44/71,327 = 30,475.80/x
  3. Step 3: Cross multiply
    51,692.44x = 71,327 × 30,475.80
  4. Step 4: Simplify right side
    51,692.44x = 2,173,747,386.60
  5. Step 5: Solve for x
    x = 2,173,747,386.60/51,692.44
  6. Step 6: Final answer
    x = 42,051.55

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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.