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Finding the Fourth Proportional to 50,842.76, 70,162.16 and 27,872.43

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Solution

The fourth proportional to 50,842.76, 70,162.16 and 27,872.43 is: 38,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,842.76 : 70,162.16 = 27,872.43 : x
  2. Step 2: Convert to fraction form
    50,842.76/70,162.16 = 27,872.43/x
  3. Step 3: Cross multiply
    50,842.76x = 70,162.16 × 27,872.43
  4. Step 4: Simplify right side
    50,842.76x = 1,955,589,595.30
  5. Step 5: Solve for x
    x = 1,955,589,595.30/50,842.76
  6. Step 6: Final answer
    x = 38,463.48

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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.