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Finding the Fourth Proportional to 32,378.89, 44,616.27 and 24,824.83

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Solution

The fourth proportional to 32,378.89, 44,616.27 and 24,824.83 is: 34,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.89 : 44,616.27 = 24,824.83 : x
  2. Step 2: Convert to fraction form
    32,378.89/44,616.27 = 24,824.83/x
  3. Step 3: Cross multiply
    32,378.89x = 44,616.27 × 24,824.83
  4. Step 4: Simplify right side
    32,378.89x = 1,107,591,317.98
  5. Step 5: Solve for x
    x = 1,107,591,317.98/32,378.89
  6. Step 6: Final answer
    x = 34,207.20

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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.