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Finding the Fourth Proportional to 50,042.64, 69,057.99 and 27,381

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Solution

The fourth proportional to 50,042.64, 69,057.99 and 27,381 is: 37,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,042.64 : 69,057.99 = 27,381 : x
  2. Step 2: Convert to fraction form
    50,042.64/69,057.99 = 27,381/x
  3. Step 3: Cross multiply
    50,042.64x = 69,057.99 × 27,381
  4. Step 4: Simplify right side
    50,042.64x = 1,890,876,824.19
  5. Step 5: Solve for x
    x = 1,890,876,824.19/50,042.64
  6. Step 6: Final answer
    x = 37,785.31

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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.