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Finding the Fourth Proportional to 36,275.36, 50,057.56 and 20,141.84

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Solution

The fourth proportional to 36,275.36, 50,057.56 and 20,141.84 is: 27,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,275.36 : 50,057.56 = 20,141.84 : x
  2. Step 2: Convert to fraction form
    36,275.36/50,057.56 = 20,141.84/x
  3. Step 3: Cross multiply
    36,275.36x = 50,057.56 × 20,141.84
  4. Step 4: Simplify right side
    36,275.36x = 1,008,251,307.48
  5. Step 5: Solve for x
    x = 1,008,251,307.48/36,275.36
  6. Step 6: Final answer
    x = 27,794.38

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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.