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Finding the Fourth Proportional to 50,529.78, 69,731.64 and 27,869.73

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Solution

The fourth proportional to 50,529.78, 69,731.64 and 27,869.73 is: 38,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,529.78 : 69,731.64 = 27,869.73 : x
  2. Step 2: Convert to fraction form
    50,529.78/69,731.64 = 27,869.73/x
  3. Step 3: Cross multiply
    50,529.78x = 69,731.64 × 27,869.73
  4. Step 4: Simplify right side
    50,529.78x = 1,943,401,979.26
  5. Step 5: Solve for x
    x = 1,943,401,979.26/50,529.78
  6. Step 6: Final answer
    x = 38,460.53

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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.