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Finding the Fourth Proportional to 50,644.60, 69,889.68 and 27,984.22

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Solution

The fourth proportional to 50,644.60, 69,889.68 and 27,984.22 is: 38,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,644.60 : 69,889.68 = 27,984.22 : x
  2. Step 2: Convert to fraction form
    50,644.60/69,889.68 = 27,984.22/x
  3. Step 3: Cross multiply
    50,644.60x = 69,889.68 × 27,984.22
  4. Step 4: Simplify right side
    50,644.60x = 1,955,808,180.85
  5. Step 5: Solve for x
    x = 1,955,808,180.85/50,644.60
  6. Step 6: Final answer
    x = 38,618.30

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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.