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Finding the Fourth Proportional to 50,621.55, 69,857.40 and 27,962

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Solution

The fourth proportional to 50,621.55, 69,857.40 and 27,962 is: 38,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,621.55 : 69,857.40 = 27,962 : x
  2. Step 2: Convert to fraction form
    50,621.55/69,857.40 = 27,962/x
  3. Step 3: Cross multiply
    50,621.55x = 69,857.40 × 27,962
  4. Step 4: Simplify right side
    50,621.55x = 1,953,352,618.80
  5. Step 5: Solve for x
    x = 1,953,352,618.80/50,621.55
  6. Step 6: Final answer
    x = 38,587.37

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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.