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Finding the Fourth Proportional to 50,394.21, 69,544.02 and 27,733.20

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Solution

The fourth proportional to 50,394.21, 69,544.02 and 27,733.20 is: 38,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,394.21 : 69,544.02 = 27,733.20 : x
  2. Step 2: Convert to fraction form
    50,394.21/69,544.02 = 27,733.20/x
  3. Step 3: Cross multiply
    50,394.21x = 69,544.02 × 27,733.20
  4. Step 4: Simplify right side
    50,394.21x = 1,928,678,215.46
  5. Step 5: Solve for x
    x = 1,928,678,215.46/50,394.21
  6. Step 6: Final answer
    x = 38,271.82

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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.