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Finding the Fourth Proportional to 32,407.89, 48,611.83 and 10,222.99

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Solution

The fourth proportional to 32,407.89, 48,611.83 and 10,222.99 is: 15,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.89 : 48,611.83 = 10,222.99 : x
  2. Step 2: Convert to fraction form
    32,407.89/48,611.83 = 10,222.99/x
  3. Step 3: Cross multiply
    32,407.89x = 48,611.83 × 10,222.99
  4. Step 4: Simplify right side
    32,407.89x = 496,958,251.97
  5. Step 5: Solve for x
    x = 496,958,251.97/32,407.89
  6. Step 6: Final answer
    x = 15,334.48

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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.