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Finding the Fourth Proportional to 50,551.42, 69,761.67 and 27,891.40

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Solution

The fourth proportional to 50,551.42, 69,761.67 and 27,891.40 is: 38,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,551.42 : 69,761.67 = 27,891.40 : x
  2. Step 2: Convert to fraction form
    50,551.42/69,761.67 = 27,891.40/x
  3. Step 3: Cross multiply
    50,551.42x = 69,761.67 × 27,891.40
  4. Step 4: Simplify right side
    50,551.42x = 1,945,750,642.64
  5. Step 5: Solve for x
    x = 1,945,750,642.64/50,551.42
  6. Step 6: Final answer
    x = 38,490.52

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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.