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Finding the Fourth Proportional to 50,046.75, 69,066.68 and 27,690.75

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Solution

The fourth proportional to 50,046.75, 69,066.68 and 27,690.75 is: 38,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,046.75 : 69,066.68 = 27,690.75 : x
  2. Step 2: Convert to fraction form
    50,046.75/69,066.68 = 27,690.75/x
  3. Step 3: Cross multiply
    50,046.75x = 69,066.68 × 27,690.75
  4. Step 4: Simplify right side
    50,046.75x = 1,912,508,030.76
  5. Step 5: Solve for x
    x = 1,912,508,030.76/50,046.75
  6. Step 6: Final answer
    x = 38,214.43

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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.