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Finding the Fourth Proportional to 50,477.82, 69,659.85 and 27,817.62

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Solution

The fourth proportional to 50,477.82, 69,659.85 and 27,817.62 is: 38,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,477.82 : 69,659.85 = 27,817.62 : x
  2. Step 2: Convert to fraction form
    50,477.82/69,659.85 = 27,817.62/x
  3. Step 3: Cross multiply
    50,477.82x = 69,659.85 × 27,817.62
  4. Step 4: Simplify right side
    50,477.82x = 1,937,771,497.78
  5. Step 5: Solve for x
    x = 1,937,771,497.78/50,477.82
  6. Step 6: Final answer
    x = 38,388.57

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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.