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Finding the Fourth Proportional to 50,239, 69,333.06 and 27,883

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Solution

The fourth proportional to 50,239, 69,333.06 and 27,883 is: 38,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,239 : 69,333.06 = 27,883 : x
  2. Step 2: Convert to fraction form
    50,239/69,333.06 = 27,883/x
  3. Step 3: Cross multiply
    50,239x = 69,333.06 × 27,883
  4. Step 4: Simplify right side
    50,239x = 1,933,213,711.98
  5. Step 5: Solve for x
    x = 1,933,213,711.98/50,239
  6. Step 6: Final answer
    x = 38,480.34

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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.