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Finding the Fourth Proportional to 50,119.31, 69,164.65 and 27,763.31

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Solution

The fourth proportional to 50,119.31, 69,164.65 and 27,763.31 is: 38,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,119.31 : 69,164.65 = 27,763.31 : x
  2. Step 2: Convert to fraction form
    50,119.31/69,164.65 = 27,763.31/x
  3. Step 3: Cross multiply
    50,119.31x = 69,164.65 × 27,763.31
  4. Step 4: Simplify right side
    50,119.31x = 1,920,239,826.61
  5. Step 5: Solve for x
    x = 1,920,239,826.61/50,119.31
  6. Step 6: Final answer
    x = 38,313.37

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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.