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Finding the Fourth Proportional to 31,861.25, 47,786.49 and 9,669.29

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Solution

The fourth proportional to 31,861.25, 47,786.49 and 9,669.29 is: 14,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861.25 : 47,786.49 = 9,669.29 : x
  2. Step 2: Convert to fraction form
    31,861.25/47,786.49 = 9,669.29/x
  3. Step 3: Cross multiply
    31,861.25x = 47,786.49 × 9,669.29
  4. Step 4: Simplify right side
    31,861.25x = 462,061,429.89
  5. Step 5: Solve for x
    x = 462,061,429.89/31,861.25
  6. Step 6: Final answer
    x = 14,502.30

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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.