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Finding the Fourth Proportional to 50,179.50, 69,247.80 and 27,823.50

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Solution

The fourth proportional to 50,179.50, 69,247.80 and 27,823.50 is: 38,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,179.50 : 69,247.80 = 27,823.50 : x
  2. Step 2: Convert to fraction form
    50,179.50/69,247.80 = 27,823.50/x
  3. Step 3: Cross multiply
    50,179.50x = 69,247.80 × 27,823.50
  4. Step 4: Simplify right side
    50,179.50x = 1,926,716,163.30
  5. Step 5: Solve for x
    x = 1,926,716,163.30/50,179.50
  6. Step 6: Final answer
    x = 38,396.48

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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.