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Finding the Fourth Proportional to 80,665.75, 120,998.76 and 31,417.75

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Solution

The fourth proportional to 80,665.75, 120,998.76 and 31,417.75 is: 47,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,665.75 : 120,998.76 = 31,417.75 : x
  2. Step 2: Convert to fraction form
    80,665.75/120,998.76 = 31,417.75/x
  3. Step 3: Cross multiply
    80,665.75x = 120,998.76 × 31,417.75
  4. Step 4: Simplify right side
    80,665.75x = 3,801,508,791.99
  5. Step 5: Solve for x
    x = 3,801,508,791.99/80,665.75
  6. Step 6: Final answer
    x = 47,126.68

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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.