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Finding the Fourth Proportional to 31,403.76, 43,354.04 and 24,217.96

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Solution

The fourth proportional to 31,403.76, 43,354.04 and 24,217.96 is: 33,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403.76 : 43,354.04 = 24,217.96 : x
  2. Step 2: Convert to fraction form
    31,403.76/43,354.04 = 24,217.96/x
  3. Step 3: Cross multiply
    31,403.76x = 43,354.04 × 24,217.96
  4. Step 4: Simplify right side
    31,403.76x = 1,049,946,406.56
  5. Step 5: Solve for x
    x = 1,049,946,406.56/31,403.76
  6. Step 6: Final answer
    x = 33,433.78

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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.