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Finding the Fourth Proportional to 50,227.36, 69,312.40 and 27,566.32

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Solution

The fourth proportional to 50,227.36, 69,312.40 and 27,566.32 is: 38,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,227.36 : 69,312.40 = 27,566.32 : x
  2. Step 2: Convert to fraction form
    50,227.36/69,312.40 = 27,566.32/x
  3. Step 3: Cross multiply
    50,227.36x = 69,312.40 × 27,566.32
  4. Step 4: Simplify right side
    50,227.36x = 1,910,687,798.37
  5. Step 5: Solve for x
    x = 1,910,687,798.37/50,227.36
  6. Step 6: Final answer
    x = 38,040.78

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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.