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Finding the Fourth Proportional to 50,842.56, 70,167.36 and 30,709.44

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Solution

The fourth proportional to 50,842.56, 70,167.36 and 30,709.44 is: 42,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,842.56 : 70,167.36 = 30,709.44 : x
  2. Step 2: Convert to fraction form
    50,842.56/70,167.36 = 30,709.44/x
  3. Step 3: Cross multiply
    50,842.56x = 70,167.36 × 30,709.44
  4. Step 4: Simplify right side
    50,842.56x = 2,154,800,331.88
  5. Step 5: Solve for x
    x = 2,154,800,331.88/50,842.56
  6. Step 6: Final answer
    x = 42,381.82

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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.