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Finding the Fourth Proportional to 50,648.56, 69,894.84 and 27,986.92

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Solution

The fourth proportional to 50,648.56, 69,894.84 and 27,986.92 is: 38,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,648.56 : 69,894.84 = 27,986.92 : x
  2. Step 2: Convert to fraction form
    50,648.56/69,894.84 = 27,986.92/x
  3. Step 3: Cross multiply
    50,648.56x = 69,894.84 × 27,986.92
  4. Step 4: Simplify right side
    50,648.56x = 1,956,141,295.49
  5. Step 5: Solve for x
    x = 1,956,141,295.49/50,648.56
  6. Step 6: Final answer
    x = 38,621.85

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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.