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Finding the Fourth Proportional to 50,470.48, 69,648.34 and 27,811.56

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Solution

The fourth proportional to 50,470.48, 69,648.34 and 27,811.56 is: 38,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470.48 : 69,648.34 = 27,811.56 : x
  2. Step 2: Convert to fraction form
    50,470.48/69,648.34 = 27,811.56/x
  3. Step 3: Cross multiply
    50,470.48x = 69,648.34 × 27,811.56
  4. Step 4: Simplify right side
    50,470.48x = 1,937,028,847.75
  5. Step 5: Solve for x
    x = 1,937,028,847.75/50,470.48
  6. Step 6: Final answer
    x = 38,379.45

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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.