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Finding the Fourth Proportional to 50,470.35, 69,648.17 and 27,811.43

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Solution

The fourth proportional to 50,470.35, 69,648.17 and 27,811.43 is: 38,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470.35 : 69,648.17 = 27,811.43 : x
  2. Step 2: Convert to fraction form
    50,470.35/69,648.17 = 27,811.43/x
  3. Step 3: Cross multiply
    50,470.35x = 69,648.17 × 27,811.43
  4. Step 4: Simplify right side
    50,470.35x = 1,937,015,239.65
  5. Step 5: Solve for x
    x = 1,937,015,239.65/50,470.35
  6. Step 6: Final answer
    x = 38,379.27

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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.