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Finding the Fourth Proportional to 51,825, 71,518.50 and 29,469

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Solution

The fourth proportional to 51,825, 71,518.50 and 29,469 is: 40,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825 : 71,518.50 = 29,469 : x
  2. Step 2: Convert to fraction form
    51,825/71,518.50 = 29,469/x
  3. Step 3: Cross multiply
    51,825x = 71,518.50 × 29,469
  4. Step 4: Simplify right side
    51,825x = 2,107,578,676.50
  5. Step 5: Solve for x
    x = 2,107,578,676.50/51,825
  6. Step 6: Final answer
    x = 40,667.22

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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.