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Finding the Fourth Proportional to 50,322.25, 69,443.92 and 27,660.75

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Solution

The fourth proportional to 50,322.25, 69,443.92 and 27,660.75 is: 38,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,322.25 : 69,443.92 = 27,660.75 : x
  2. Step 2: Convert to fraction form
    50,322.25/69,443.92 = 27,660.75/x
  3. Step 3: Cross multiply
    50,322.25x = 69,443.92 × 27,660.75
  4. Step 4: Simplify right side
    50,322.25x = 1,920,871,074.92
  5. Step 5: Solve for x
    x = 1,920,871,074.92/50,322.25
  6. Step 6: Final answer
    x = 38,171.41

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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.