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Finding the Fourth Proportional to 50,209.57, 69,289.88 and 27,548.15

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Solution

The fourth proportional to 50,209.57, 69,289.88 and 27,548.15 is: 38,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209.57 : 69,289.88 = 27,548.15 : x
  2. Step 2: Convert to fraction form
    50,209.57/69,289.88 = 27,548.15/x
  3. Step 3: Cross multiply
    50,209.57x = 69,289.88 × 27,548.15
  4. Step 4: Simplify right side
    50,209.57x = 1,908,807,661.27
  5. Step 5: Solve for x
    x = 1,908,807,661.27/50,209.57
  6. Step 6: Final answer
    x = 38,016.81

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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.