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Finding the Fourth Proportional to 50,119.82, 69,165.34 and 27,763.82

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Solution

The fourth proportional to 50,119.82, 69,165.34 and 27,763.82 is: 38,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,119.82 : 69,165.34 = 27,763.82 : x
  2. Step 2: Convert to fraction form
    50,119.82/69,165.34 = 27,763.82/x
  3. Step 3: Cross multiply
    50,119.82x = 69,165.34 × 27,763.82
  4. Step 4: Simplify right side
    50,119.82x = 1,920,293,704.17
  5. Step 5: Solve for x
    x = 1,920,293,704.17/50,119.82
  6. Step 6: Final answer
    x = 38,314.06

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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.