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Finding the Fourth Proportional to 50,141.88, 69,199.02 and 27,787.32

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Solution

The fourth proportional to 50,141.88, 69,199.02 and 27,787.32 is: 38,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,141.88 : 69,199.02 = 27,787.32 : x
  2. Step 2: Convert to fraction form
    50,141.88/69,199.02 = 27,787.32/x
  3. Step 3: Cross multiply
    50,141.88x = 69,199.02 × 27,787.32
  4. Step 4: Simplify right side
    50,141.88x = 1,922,855,312.43
  5. Step 5: Solve for x
    x = 1,922,855,312.43/50,141.88
  6. Step 6: Final answer
    x = 38,348.29

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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.