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Finding the Fourth Proportional to 32,405.89, 48,608.83 and 10,220.99

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Solution

The fourth proportional to 32,405.89, 48,608.83 and 10,220.99 is: 15,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405.89 : 48,608.83 = 10,220.99 : x
  2. Step 2: Convert to fraction form
    32,405.89/48,608.83 = 10,220.99/x
  3. Step 3: Cross multiply
    32,405.89x = 48,608.83 × 10,220.99
  4. Step 4: Simplify right side
    32,405.89x = 496,830,365.34
  5. Step 5: Solve for x
    x = 496,830,365.34/32,405.89
  6. Step 6: Final answer
    x = 15,331.48

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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.