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Finding the Fourth Proportional to 67,254.77, 100,844.48 and 31,192.56

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Solution

The fourth proportional to 67,254.77, 100,844.48 and 31,192.56 is: 46,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,254.77 : 100,844.48 = 31,192.56 : x
  2. Step 2: Convert to fraction form
    67,254.77/100,844.48 = 31,192.56/x
  3. Step 3: Cross multiply
    67,254.77x = 100,844.48 × 31,192.56
  4. Step 4: Simplify right side
    67,254.77x = 3,145,597,571.05
  5. Step 5: Solve for x
    x = 3,145,597,571.05/67,254.77
  6. Step 6: Final answer
    x = 46,771.37

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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.