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Finding the Fourth Proportional to 31,990.96, 44,147.46 and 17,842.96

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Solution

The fourth proportional to 31,990.96, 44,147.46 and 17,842.96 is: 24,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.96 : 44,147.46 = 17,842.96 : x
  2. Step 2: Convert to fraction form
    31,990.96/44,147.46 = 17,842.96/x
  3. Step 3: Cross multiply
    31,990.96x = 44,147.46 × 17,842.96
  4. Step 4: Simplify right side
    31,990.96x = 787,721,362.88
  5. Step 5: Solve for x
    x = 787,721,362.88/31,990.96
  6. Step 6: Final answer
    x = 24,623.25

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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.