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Finding the Fourth Proportional to 50,335.06, 69,463.72 and 27,675

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Solution

The fourth proportional to 50,335.06, 69,463.72 and 27,675 is: 38,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,335.06 : 69,463.72 = 27,675 : x
  2. Step 2: Convert to fraction form
    50,335.06/69,463.72 = 27,675/x
  3. Step 3: Cross multiply
    50,335.06x = 69,463.72 × 27,675
  4. Step 4: Simplify right side
    50,335.06x = 1,922,408,451
  5. Step 5: Solve for x
    x = 1,922,408,451/50,335.06
  6. Step 6: Final answer
    x = 38,192.24

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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.