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Finding the Fourth Proportional to 49,016.34, 73,524.51 and 13,956

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Solution

The fourth proportional to 49,016.34, 73,524.51 and 13,956 is: 20,934

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,016.34 : 73,524.51 = 13,956 : x
  2. Step 2: Convert to fraction form
    49,016.34/73,524.51 = 13,956/x
  3. Step 3: Cross multiply
    49,016.34x = 73,524.51 × 13,956
  4. Step 4: Simplify right side
    49,016.34x = 1,026,108,061.56
  5. Step 5: Solve for x
    x = 1,026,108,061.56/49,016.34
  6. Step 6: Final answer
    x = 20,934

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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.