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Finding the Fourth Proportional to 51,605.80, 77,408.70 and 31,906.60

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Solution

The fourth proportional to 51,605.80, 77,408.70 and 31,906.60 is: 47,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,605.80 : 77,408.70 = 31,906.60 : x
  2. Step 2: Convert to fraction form
    51,605.80/77,408.70 = 31,906.60/x
  3. Step 3: Cross multiply
    51,605.80x = 77,408.70 × 31,906.60
  4. Step 4: Simplify right side
    51,605.80x = 2,469,848,427.42
  5. Step 5: Solve for x
    x = 2,469,848,427.42/51,605.80
  6. Step 6: Final answer
    x = 47,859.90

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1.5x scale

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.