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Finding the Fourth Proportional to 31,999.65, 44,162.00 and 17,662.29

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Solution

The fourth proportional to 31,999.65, 44,162.00 and 17,662.29 is: 24,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.65 : 44,162.00 = 17,662.29 : x
  2. Step 2: Convert to fraction form
    31,999.65/44,162.00 = 17,662.29/x
  3. Step 3: Cross multiply
    31,999.65x = 44,162.00 × 17,662.29
  4. Step 4: Simplify right side
    31,999.65x = 780,001,962.67
  5. Step 5: Solve for x
    x = 780,001,962.67/31,999.65
  6. Step 6: Final answer
    x = 24,375.33

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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.