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Finding the Fourth Proportional to 50,470.23, 69,647.99 and 27,811.31

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Solution

The fourth proportional to 50,470.23, 69,647.99 and 27,811.31 is: 38,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470.23 : 69,647.99 = 27,811.31 : x
  2. Step 2: Convert to fraction form
    50,470.23/69,647.99 = 27,811.31/x
  3. Step 3: Cross multiply
    50,470.23x = 69,647.99 × 27,811.31
  4. Step 4: Simplify right side
    50,470.23x = 1,937,001,736.18
  5. Step 5: Solve for x
    x = 1,937,001,736.18/50,470.23
  6. Step 6: Final answer
    x = 38,379.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.