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Finding the Fourth Proportional to 20,842.34, 31,266.57 and 6,049.34

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Solution

The fourth proportional to 20,842.34, 31,266.57 and 6,049.34 is: 9,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.34 : 31,266.57 = 6,049.34 : x
  2. Step 2: Convert to fraction form
    20,842.34/31,266.57 = 6,049.34/x
  3. Step 3: Cross multiply
    20,842.34x = 31,266.57 × 6,049.34
  4. Step 4: Simplify right side
    20,842.34x = 189,141,956.23
  5. Step 5: Solve for x
    x = 189,141,956.23/20,842.34
  6. Step 6: Final answer
    x = 9,074.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.