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Finding the Fourth Proportional to 73,163.24, 100,964.74 and 39,629

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Solution

The fourth proportional to 73,163.24, 100,964.74 and 39,629 is: 54,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,163.24 : 100,964.74 = 39,629 : x
  2. Step 2: Convert to fraction form
    73,163.24/100,964.74 = 39,629/x
  3. Step 3: Cross multiply
    73,163.24x = 100,964.74 × 39,629
  4. Step 4: Simplify right side
    73,163.24x = 4,001,131,681.46
  5. Step 5: Solve for x
    x = 4,001,131,681.46/73,163.24
  6. Step 6: Final answer
    x = 54,687.73

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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.