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Finding the Fourth Proportional to 50,099.64, 69,142.14 and 27,743.64

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Solution

The fourth proportional to 50,099.64, 69,142.14 and 27,743.64 is: 38,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,099.64 : 69,142.14 = 27,743.64 : x
  2. Step 2: Convert to fraction form
    50,099.64/69,142.14 = 27,743.64/x
  3. Step 3: Cross multiply
    50,099.64x = 69,142.14 × 27,743.64
  4. Step 4: Simplify right side
    50,099.64x = 1,918,254,640.99
  5. Step 5: Solve for x
    x = 1,918,254,640.99/50,099.64
  6. Step 6: Final answer
    x = 38,288.79

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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.