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Finding the Fourth Proportional to 51,828, 71,521.76 and 29,166.96

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Solution

The fourth proportional to 51,828, 71,521.76 and 29,166.96 is: 40,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,828 : 71,521.76 = 29,166.96 : x
  2. Step 2: Convert to fraction form
    51,828/71,521.76 = 29,166.96/x
  3. Step 3: Cross multiply
    51,828x = 71,521.76 × 29,166.96
  4. Step 4: Simplify right side
    51,828x = 2,086,072,313.05
  5. Step 5: Solve for x
    x = 2,086,072,313.05/51,828
  6. Step 6: Final answer
    x = 40,249.91

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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.